LCM for 68 and 84

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What's the Least Common Multiple (LCM) of 68 and 84?

Answer

LCM of 68 and 84 is
1,428

(One thousand four hundred twenty-eight)

Finding LCM for 68 and 84 using GCF of these numbers

The first method to find LCM for numbers 68 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 68 and 84 is 4, so

LCM = (68 × 84) ÷ 4

LCM = 5,712 ÷ 4

LCM = 1,428

Finding LCM for 68 and 84 by Listing Multiples

The second method to find LCM for numbers 68 and 84 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 68: 68, 136, 204, 272, 340, 408, 476, 544, 612, 680, 748, 816, 884, 952, 1,020, 1,088, 1,156, 1,224, 1,292, 1,360, 1,428, 1,496, 1,564

Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1,008, 1,092, 1,176, 1,260, 1,344, 1,428, 1,512, 1,596

So the LCM for 68 and 84 is 1,428

Finding LCM for 68 and 84 by Prime Factorization

Another method to find LCM for numbers 68 and 84 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 68: 2, 2, 17 (exponent form: 22, 171)

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

22 × 171 × 31 × 71 = 1,428

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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 68 and 84? (The answer is: 1,428). Select the first number (e.g. '68') 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
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LCM Table

Number 1Number 2LCM
68694,692
68702,380
68714,828
68721,224
68734,964
68742,516
68755,100
68761,292
68775,236
68782,652
68795,372
68801,360
68815,508
68822,788
68835,644
68841,428
6885340
68862,924
68875,916
68881,496
68896,052
68903,060
68916,188
68921,564
68936,324
68943,196
68956,460
68961,632
68976,596
68983,332

FAQ

What's the Least Common Multiple (LCM) of 68 and 84?

LCM of 68 and 84 is 1,428

How to find the LCM of 68 and 84 using prime factorization?

To find the LCM of 68 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,428.

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 68 and 84: LCM = 1,428, GCF = 4.

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