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What is the Least Common Multiple of 155 and 165?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 155 and 165 is 5115.

LCM(155,165) = 5115

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Least Common Multiple of 155 and 165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 155 and 165, than apply into the LCM equation.

GCF(155,165) = 5
LCM(155,165) = ( 155 × 165) / 5
LCM(155,165) = 25575 / 5
LCM(155,165) = 5115

Least Common Multiple (LCM) of 155 and 165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 165. First we will calculate the prime factors of 155 and 165.

Prime Factorization of 155

Prime factors of 155 are 5, 31. Prime factorization of 155 in exponential form is:

155 = 51 × 311

Prime Factorization of 165

Prime factors of 165 are 3, 5, 11. Prime factorization of 165 in exponential form is:

165 = 31 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 155 and 165.

LCM(155,165) = 51 × 311 × 31 × 111
LCM(155,165) = 5115

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