LCM for 34 and 48

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What's the Least Common Multiple (LCM) of 34 and 48?

Answer

LCM of 34 and 48 is
816

First common multiples: 816; 1,632; 2,448; …

816 is divisible by both: 816 ÷ 34 = 24, 816 ÷ 48 = 17 — and 24 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 24 and of y/48 by 17.

34 = 2 × 17

48 = 24 × 3

Prime3448Highest power
222424
3—33
1717—17

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

LCM = 24 × 3 × 17 = 816

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LCM Table

Number 1Number 2LCM
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
34531,802
3454918
34551,870
3456952
34571,938
3458986
34592,006
34601,020
34612,074
34621,054

FAQ

What's the Least Common Multiple (LCM) of 34 and 48?

LCM of 34 and 48 is 816

How to find the LCM of 34 and 48 using prime factorization?

To find the LCM of 34 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 816.

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 48: LCM = 816, GCF = 2.

See Also