LCM for 125 and 175

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What's the Least Common Multiple (LCM) of 125 and 175?

Answer

LCM of 125 and 175 is
875

First common multiples: 875; 1,750; 2,625; …

875 is divisible by both: 875 ÷ 125 = 7, 875 ÷ 175 = 5 — and 7 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/125 by 7 and of y/175 by 5.

125 = 53

175 = 52 × 7

Prime125175Highest power
5535253
7—77

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

LCM = 53 × 7 = 875

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LCM Table

Number 1Number 2LCM
1251604,000
12516120,125
12516220,250
12516320,375
12516420,500
1251654,125
12516620,750
12516720,875
12516821,000
12516921,125
1251704,250
12517121,375
12517221,500
12517321,625
12517421,750
125175875
12517622,000
12517722,125
12517822,250
12517922,375
1251804,500
12518122,625
12518222,750
12518322,875
12518423,000
1251854,625
12518623,250
12518723,375
12518823,500
12518923,625

FAQ

What's the Least Common Multiple (LCM) of 125 and 175?

LCM of 125 and 175 is 875

How to find the LCM of 125 and 175 using prime factorization?

To find the LCM of 125 and 175, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 875.

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 175: LCM = 875, GCF = 25.

See Also