LCM for 52 and 84

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What's the Least Common Multiple (LCM) of 52 and 84?

Answer

LCM of 52 and 84 is
1,092

(One thousand ninety-two)

Finding LCM for 52 and 84 using GCF of these numbers

The first method to find LCM for numbers 52 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 52 and 84 is 4, so

LCM = (52 × 84) ÷ 4

LCM = 4,368 ÷ 4

LCM = 1,092

Finding LCM for 52 and 84 by Listing Multiples

The second method to find LCM for numbers 52 and 84 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1,040, 1,092, 1,144, 1,196

Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1,008, 1,092, 1,176, 1,260

So the LCM for 52 and 84 is 1,092

Finding LCM for 52 and 84 by Prime Factorization

Another method to find LCM for numbers 52 and 84 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)

All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

22 × 131 × 31 × 71 = 1,092

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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 52 and 84? (The answer is: 1,092). Select the first number (e.g. '52') and the second number (e.g. '84'). 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
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LCM Table

Number 1Number 2LCM
52693,588
52701,820
52713,692
5272936
52733,796
52741,924
52753,900
5276988
52774,004
5278156
52794,108
52801,040
52814,212
52822,132
52834,316
52841,092
52854,420
52862,236
52874,524
52881,144
52894,628
52902,340
5291364
52921,196
52934,836
52942,444
52954,940
52961,248
52975,044
52982,548

FAQ

What's the Least Common Multiple (LCM) of 52 and 84?

LCM of 52 and 84 is 1,092

How to find the LCM of 52 and 84 using prime factorization?

To find the LCM of 52 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,092.

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 52 and 84: LCM = 1,092, GCF = 4.

See Also