LCM for 108 and 396

What's the Least Common Multiple (LCM) of 108 and 396?

Answer: LCM of 108 and 396 is 1,188

(One thousand, one hundred eighty-eight)

Finding LCM for 108 and 396 using GCF's of these numbers

The first method to find LCM for numbers 108 and 396 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 108 and 396 is 36, so

LCM = (108 × 396) ÷ 36

LCM = 42768 ÷ 36

LCM = 1188

Finding LCM for 108 and 396 by Listing Multiples

The second method to find LCM for numbers 108 and 396 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 108: 108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404

Multiples of 396: 396, 792, 1188, 1584, 1980

So the LCM for 108 and 396 is 1188

Finding LCM for 108 and 396 by Prime Factorization

Another method to find LCM for numbers 108 and 396 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)

All Prime Factors of 396: 2, 2, 3, 3, 11 (exponent form: 22, 32, 111)

22 × 33 × 111 = 1188

LCM Table

Number 1Number 2LCM
9339612276
9439618612
9539637620
963963168
9739638412
9839619404
99396396
1003969900
10139639996
1023966732
10339640788
10439610296
10539613860
10639620988
10739642372
108396
10939643164
1103961980
11139614652
11239611088
11339644748
1143967524
11539645540
11639611484
1173965148
11839623364
11939647124
1203963960
1213964356
12239624156

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 108 and 396? (The answer is: 1188). Select the first number (e.g. '108') and the second number (e.g. '396'). 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 the smallest positive integer that is divisible by both numbers

FAQ

What's the Least Common Multiple (LCM) of 108 and 396?

LCM of 108 and 396 is 1,188