LCM for 250 and 128

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What's the Least Common Multiple (LCM) of 250 and 128?

Answer

LCM of 250 and 128 is
16,000

First common multiples: 16,000; 32,000; 48,000; …

16,000 is divisible by both: 16,000 ÷ 250 = 64; 16,000 ÷ 128 = 125 — and 64 and 125 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/250 by 64 and of y/128 by 125.

250 = 2 × 53

128 = 27

Prime250128Highest power
222727
553—53

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

LCM = 27 × 53 = 16,000

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
25011328,250
25011414,250
2501155,750
25011614,500
25011729,250
25011814,750
25011929,750
2501203,000
25012130,250
25012215,250
25012330,750
25012415,500
250125250
25012615,750
25012731,750
25012816,000
25012932,250
2501303,250
25013132,750
25013216,500
25013333,250
25013416,750
2501356,750
25013617,000
25013734,250
25013817,250
25013934,750
2501403,500
25014135,250
25014217,750

FAQ

What's the Least Common Multiple (LCM) of 250 and 128?

LCM of 250 and 128 is 16,000

How to find the LCM of 250 and 128 using prime factorization?

To find the LCM of 250 and 128, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 16,000.

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 250 and 128: LCM = 16,000, GCF = 2.

See Also