LCM for 34 and 38

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What's the Least Common Multiple (LCM) of 34 and 38?

Answer

LCM of 34 and 38 is
646

First common multiples: 646; 1,292; 1,938; …

646 is divisible by both: 646 ÷ 34 = 19, 646 ÷ 38 = 17 — and 19 and 17 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/34 by 19 and of y/38 by 17.

34 = 2 × 17

38 = 2 × 19

Prime3438Highest power
2222
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 × 17 × 19 = 646

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LCM Table

Number 1Number 2LCM
3423782
3424408
3425850
3426442
3427918
3428476
3429986
3430510
34311,054
3432544
34331,122
343434
34351,190
3436612
34371,258
3438646
34391,326
3440680
34411,394
3442714
34431,462
3444748
34451,530
3446782
34471,598
3448816
34491,666
3450850
3451102
3452884

FAQ

What's the Least Common Multiple (LCM) of 34 and 38?

LCM of 34 and 38 is 646

How to find the LCM of 34 and 38 using prime factorization?

To find the LCM of 34 and 38, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 646.

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 38: LCM = 646, GCF = 2.

See Also