LCM for 250 and 130

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What's the Least Common Multiple (LCM) of 250 and 130?

Answer

LCM of 250 and 130 is
3,250

First common multiples: 3,250; 6,500; 9,750; …

3,250 is divisible by both: 3,250 ÷ 250 = 13; 3,250 ÷ 130 = 25 — and 13 and 25 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/250 by 13 and of y/130 by 25.

250 = 2 × 53

130 = 2 × 5 × 13

Prime250130Highest power
2222
553553
13—1313

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

LCM = 2 × 53 × 13 = 3,250

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
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
25014335,750
25014418,000

FAQ

What's the Least Common Multiple (LCM) of 250 and 130?

LCM of 250 and 130 is 3,250

How to find the LCM of 250 and 130 using prime factorization?

To find the LCM of 250 and 130, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,250.

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 130: LCM = 3,250, GCF = 10.

See Also