LCM for 18 and 252

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 18 and 252?

Answer: LCM of 18 and 252 is 252

(Two hundred fifty-two)

Finding LCM for 18 and 252 using GCF's of these numbers

The first method to find LCM for numbers 18 and 252 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 252 is 18, so

LCM = (18 × 252) ÷ 18

LCM = 4536 ÷ 18

LCM = 252

Finding LCM for 18 and 252 by Listing Multiples

The second method to find LCM for numbers 18 and 252 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288

Multiples of 252: 252, 504, 756, 1008, 1260, 1512, 1764, 2016, 2268, 2520, 2772, 3024, 3276, 3528, 3780, 4032, [...], 252

So the LCM for 18 and 252 is 252

Finding LCM for 18 and 252 by Prime Factorization

Another method to find LCM for numbers 18 and 252 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

All Prime Factors of 252: 2, 2, 3, 3, 7 (exponent form: 22, 32, 71)

22 × 32 × 71 = 252

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LCM Table

Number 1Number 2LCM
3252252
4252252
52521260
6252252
7252252
8252504
9252252
102521260
112522772
12252252
132523276
14252252
152521260
162521008
172524284
18252252
192524788
202521260
21252252
222522772
232525796
24252504
252526300
262523276
27252756
28252252
292527308
302521260
312527812
322522016

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 18 and 252? (The answer is: 252). Select the first number (e.g. '18') and the second number (e.g. '252'). 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

FAQ

What's the Least Common Multiple (LCM) of 18 and 252?

LCM of 18 and 252 is 252

See Also