# LCM for 12 and 13

## What's the Least Common Multiple (LCM) of 12 and 13?

**Answer:**LCM of

**12 and 13**is

**156**

(One hundred fifty-six)

## Finding LCM for 12 and 13 using GCF's of these numbers

The first method to find LCM for numbers 12 and 13 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 13 is **1**, so

LCM = (12 × 13) ÷ 1

LCM = 156 ÷ 1

LCM = 156

## Finding LCM for 12 and 13 by Listing Multiples

The second method to find LCM for numbers 12 and 13 is to list out the common multiples for both nubmers and pick the first which matching:

**Multiples of 12**: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, **156,** 168, 180

**Multiples of 13**: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, **156,** 169, 182

So the LCM for 12 and 13 is **156**

## Finding LCM for 12 and 13 by Prime Factorization

Another method to find LCM for numbers 12 and 13 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 12: 2, 2, 3 (exponent form: **2 ^{2}, 3^{1})**

All Prime Factors of 13: 13 (exponent form: **13 ^{1})**

2^{2} × 3^{1} × 13^{1} = **156**

## Related Calculations

## LCM Table

## About "Least Common Multiple" Calculator

**156**). Select the first number (e.g. '12') and the second number (e.g. '13'). After that hit the 'Calculate' button.

Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is thesmallest positive integer that is divisible by both numbers