LCM for 210 and 252

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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 = 52,920 ÷ 42

LCM = 1,260

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 1,260

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 = 1,260

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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: 1,260). 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
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LCM Table

Number 1Number 2LCM
21023716,590
2102383,570
21023950,190
2102401,680
21024150,610
21024225,410
21024317,010
21024425,620
2102451,470
2102468,610
21024751,870
21024826,040
21024917,430
2102505,250
21025152,710
2102521,260
21025353,130
21025426,670
2102553,570
21025626,880
21025753,970
2102589,030
2102597,770
2102605,460
21026118,270
21026227,510
21026355,230
2102649,240
21026511,130
2102663,990

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.

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