LCM for 36 and 18

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 36 and 18?

Answer

LCM of 36 and 18 is 36

(Thirty-six)

Finding LCM for 36 and 18 using GCF of these numbers

The first method to find LCM for numbers 36 and 18 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 18 is 18, so

LCM = (36 × 18) ÷ 18

LCM = 648 ÷ 18

LCM = 36

Finding LCM for 36 and 18 by Listing Multiples

The second method to find LCM for numbers 36 and 18 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 36: 36, 72, 108

Multiples of 18: 18, 36, 54, 72

So the LCM for 36 and 18 is 36

Finding LCM for 36 and 18 by Prime Factorization

Another method to find LCM for numbers 36 and 18 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 18: 2, 3, 3 (exponent form: 21, 32)

22 × 32 = 36

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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 18? (The answer is: 36). Select the first number (e.g. '36') and the second number (e.g. '18'). 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
2118126
2218198
2318414
241872
2518450
2618234
271854
2818252
2918522
301890
3118558
3218288
3318198
3418306
3518630
361836
3718666
3818342
3918234
4018360
4118738
4218126
4318774
4418396
451890
4618414
4718846
4818144
4918882
5018450

FAQ

What's the Least Common Multiple (LCM) of 36 and 18?

LCM of 36 and 18 is 36

How to find the LCM of 36 and 18 using prime factorization?

To find the LCM of 36 and 18, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 36.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 36 and 18: LCM = 36, GCF = 18.

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