LCM for 210 and 252

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Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 210 and 252?

Answer

LCM of 210 and 252 is 1,260

(One thousand, two hundred sixty)

Finding LCM for 210 and 252 using GCF of these numbers

The first method to find LCM for numbers 210 and 252 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 210 and 252 is 42, so

LCM = (210 × 252) ÷ 42

LCM = 52920 ÷ 42

LCM = 1260

Finding LCM for 210 and 252 by Listing Multiples

The second method to find LCM for numbers 210 and 252 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 210: 210, 420, 630, 840, 1050, 1260, 1470, 1680

Multiples of 252: 252, 504, 756, 1008, 1260, 1512, 1764

So the LCM for 210 and 252 is 1260

Finding LCM for 210 and 252 by Prime Factorization

Another method to find LCM for numbers 210 and 252 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

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

22 × 32 × 51 × 71 = 1260

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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 210 and 252? (The answer is: 1260). Select the first number (e.g. '210') 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

LCM Table

Number 1Number 2LCM
19525216380
1962521764
19725249644
1982522772
19925250148
20025212600
20125216884
20225225452
2032527308
2042524284
20525251660
20625225956
2072525796
20825213104
20925252668
2102521260
21125253172
21225213356
21325217892
21425226964
21525254180
2162521512
2172527812
21825227468
21925218396
22025213860
22125255692
2222529324
22325256196
2242522016

FAQ

What's the Least Common Multiple (LCM) of 210 and 252?

LCM of 210 and 252 is 1,260

How to find the LCM of 210 and 252 using prime factorization?

To find the LCM of 210 and 252, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

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 210 and 252: LCM = 1,260, GCF = 42.

See Also