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
21023716590
2102383570
21023950190
2102401680
21024150610
21024225410
21024317010
21024425620
2102451470
2102468610
21024751870
21024826040
21024917430
2102505250
21025152710
2102521260
21025353130
21025426670
2102553570
21025626880
21025753970
2102589030
2102597770
2102605460
21026118270
21026227510
21026355230
2102649240
21026511130
2102663990

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