LCM for 125 and 500

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What's the Least Common Multiple (LCM) of 125 and 500?

Answer

LCM of 125 and 500 is
500

First common multiples: 500; 1,000; 1,500; …

As a common denominator: multiply the top and bottom of x/125 by 4.

125 divides 500 (500 ÷ 125 = 4), so the LCM is the larger number itself.

125 = 53

500 = 22 × 53

Prime125500Highest power
2—2222
5535353

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

LCM = 22 × 53 = 500

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
12548512,125
12548660,750
12548760,875
12548861,000
12548961,125
12549012,250
12549161,375
12549261,500
12549361,625
12549461,750
12549512,375
12549662,000
12549762,125
12549862,250
12549962,375
125500500
12550162,625
12550262,750
12550362,875
12550463,000
12550512,625
12550663,250
12550763,375
12550863,500
12550963,625
12551012,750
12551163,875
12551264,000
12551364,125
12551464,250

FAQ

What's the Least Common Multiple (LCM) of 125 and 500?

LCM of 125 and 500 is 500

How to find the LCM of 125 and 500 using prime factorization?

To find the LCM of 125 and 500, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 500.

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 125 and 500: LCM = 500, GCF = 125.

See Also