LCM for 125 and 150

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What's the Least Common Multiple (LCM) of 125 and 150?

Answer

LCM of 125 and 150 is
750

First common multiples: 750; 1,500; 2,250; …

750 is divisible by both: 750 ÷ 125 = 6, 750 ÷ 150 = 5 — and 6 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 6 and of y/150 by 5.

125 = 53

150 = 2 × 3 × 52

Prime125150Highest power
2—22
3—33
5535253

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

LCM = 2 × 3 × 53 = 750

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LCM Table

Number 1Number 2LCM
1251353,375
12513617,000
12513717,125
12513817,250
12513917,375
1251403,500
12514117,625
12514217,750
12514317,875
12514418,000
1251453,625
12514618,250
12514718,375
12514818,500
12514918,625
125150750
12515118,875
12515219,000
12515319,125
12515419,250
1251553,875
12515619,500
12515719,625
12515819,750
12515919,875
1251604,000
12516120,125
12516220,250
12516320,375
12516420,500

FAQ

What's the Least Common Multiple (LCM) of 125 and 150?

LCM of 125 and 150 is 750

How to find the LCM of 125 and 150 using prime factorization?

To find the LCM of 125 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 750.

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 150: LCM = 750, GCF = 25.

See Also