LCM for 34 and 51

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What's the Least Common Multiple (LCM) of 34 and 51?

Answer

LCM of 34 and 51 is
102

First common multiples: 102, 204, 306, …

102 is divisible by both: 102 ÷ 34 = 3, 102 ÷ 51 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/34 by 3 and of y/51 by 2.

34 = 2 × 17

51 = 3 × 17

Prime3451Highest power
22—2
3—33
17171717

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

LCM = 2 × 3 × 17 = 102

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LCM Table

Number 1Number 2LCM
3436612
34371,258
3438646
34391,326
3440680
34411,394
3442714
34431,462
3444748
34451,530
3446782
34471,598
3448816
34491,666
3450850
3451102
3452884
34531,802
3454918
34551,870
3456952
34571,938
3458986
34592,006
34601,020
34612,074
34621,054
34632,142
34641,088
34652,210

FAQ

What's the Least Common Multiple (LCM) of 34 and 51?

LCM of 34 and 51 is 102

How to find the LCM of 34 and 51 using prime factorization?

To find the LCM of 34 and 51, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 102.

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 34 and 51: LCM = 102, GCF = 17.

See Also