LCM for 34 and 63

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 34 and 63?

Answer

LCM of 34 and 63 is
2,142

First common multiples: 2,142; 4,284; 6,426; …

2,142 is divisible by both: 2,142 ÷ 34 = 63; 2,142 ÷ 63 = 34 — and 63 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 63 and of y/63 by 34.

34 and 63 are coprime (GCF = 1), so their LCM is simply the product: 34 × 63 = 2,142.

34 = 2 × 17

63 = 32 × 7

Prime3463Highest power
22—2
3—3232
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 = 2 × 32 × 7 × 17 = 2,142

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
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
34721,224
34732,482
34741,258
34752,550
34761,292
34772,618

FAQ

What's the Least Common Multiple (LCM) of 34 and 63?

LCM of 34 and 63 is 2,142

How to find the LCM of 34 and 63 using prime factorization?

To find the LCM of 34 and 63, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,142.

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 63: LCM = 2,142, GCF = 1.

See Also