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

First common multiples: 1,428; 2,856; 4,284; …

1,428 is divisible by both: 1,428 ÷ 68 = 21; 1,428 ÷ 84 = 17 — and 21 and 17 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/68 by 21 and of y/84 by 17.

68 = 22 × 17

84 = 22 × 3 × 7

Prime6884Highest power
2222222
3—33
7—77
1717—17

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 3 × 7 × 17 = 1,428

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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.

See Also