LCM of** 75 **and **80** is **1200**

**What is LCM?
**

LCM stands for the least common multiple. The LCM of two numbers, such as **75** and **80****, **is the smallest number that is divisible by both **75**and **80** without producing a remainder.

**How to calculate the Lcm of 75 and 80
**

You can calculate the LCM of **75** and **80**** **by using any of the two methods listed below.

**Method 1: By Prime Factorization
**

**Step 1:** Find the prime factors of **75**

**3 X 5 X 5
**

**Step 2:** Find the prime factors of **80**

**2 X 2 X 2 X 2 X 5**

**Step 3:** List the Prime factors of **75** and **80** the greatest number of times they occur.

**2 X 2 X 2 X 2 X 3 X 5 X 5
**

**Step 4:** Multiply the answer above to get the lcm of **75** and **80** ** **which is: **1200
**

**Method 2: LCM by Long division
**

We can also find the LCM of numbers using the long division method. Look at the image below to find out how to find LCM using Long division.

**Answer: 1200
**

**LCM calculator
**

Enter two numbers to check their LCM

**
LCM of two Numbers
**