LCM for 36 and 108

What's the Least Common Multiple (LCM) of 36 and 108?

Answer: LCM of 36 and 108 is 108

(One hundred eight)

Finding LCM for 36 and 108 using GCF's of these numbers

The first method to find LCM for numbers 36 and 108 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 108 is 36, so

LCM = (36 × 108) ÷ 36

LCM = 3888 ÷ 36

LCM = 108

Finding LCM for 36 and 108 by Listing Multiples

The second method to find LCM for numbers 36 and 108 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180

Multiples of 108: 108, 216, 324, 432, 540, [...], 108

So the LCM for 36 and 108 is 108

Finding LCM for 36 and 108 by Prime Factorization

Another method to find LCM for numbers 36 and 108 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

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

22 × 33 = 108

Related Calculations

LCM Table

Number 1Number 2LCM
21108756
221081188
231082484
24108216
251082700
261081404
27108108
28108756
291083132
30108540
311083348
32108864
331081188
341081836
351083780
36108
371083996
381082052
391081404
401081080
411084428
42108756
431084644
441081188
45108540
461082484
471085076
48108432
491085292
501082700

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 36 and 108? (The answer is: 108). Select the first number (e.g. '36') and the second number (e.g. '108'). 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 36 and 108?

LCM of 36 and 108 is 108