LCM for 125 and 165

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What's the Least Common Multiple (LCM) of 125 and 165?

Answer

LCM of 125 and 165 is
4,125

First common multiples: 4,125; 8,250; 12,375; …

4,125 is divisible by both: 4,125 ÷ 125 = 33; 4,125 ÷ 165 = 25 — and 33 and 25 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/125 by 33 and of y/165 by 25.

125 = 53

165 = 3 × 5 × 11

Prime125165Highest power
3—33
553553
11—1111

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

LCM = 3 × 53 × 11 = 4,125

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
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
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

FAQ

What's the Least Common Multiple (LCM) of 125 and 165?

LCM of 125 and 165 is 4,125

How to find the LCM of 125 and 165 using prime factorization?

To find the LCM of 125 and 165, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,125.

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 165: LCM = 4,125, GCF = 5.

See Also