LCM for 34 and 57

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What's the Least Common Multiple (LCM) of 34 and 57?

Answer

LCM of 34 and 57 is
1,938

First common multiples: 1,938; 3,876; 5,814; …

1,938 is divisible by both: 1,938 ÷ 34 = 57; 1,938 ÷ 57 = 34 — and 57 and 34 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/34 by 57 and of y/57 by 34.

34 and 57 are coprime (GCF = 1), so their LCM is simply the product: 34 × 57 = 1,938.

34 = 2 × 17

57 = 3 × 19

Prime3457Highest power
22—2
3—33
1717—17
19—1919

— = 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 × 19 = 1,938

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LCM Table

Number 1Number 2LCM
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
34661,122
34672,278
346868
34692,346
34701,190
34712,414

FAQ

What's the Least Common Multiple (LCM) of 34 and 57?

LCM of 34 and 57 is 1,938

How to find the LCM of 34 and 57 using prime factorization?

To find the LCM of 34 and 57, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,938.

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 57: LCM = 1,938, GCF = 1.

See Also