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What is the Least Common Multiple of 55155 and 55165?

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 55155 and 55165 is 608525115.

LCM(55155,55165) = 608525115

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Least Common Multiple of 55155 and 55165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55155 and 55165, than apply into the LCM equation.

GCF(55155,55165) = 5
LCM(55155,55165) = ( 55155 × 55165) / 5
LCM(55155,55165) = 3042625575 / 5
LCM(55155,55165) = 608525115

Least Common Multiple (LCM) of 55155 and 55165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55155 and 55165. First we will calculate the prime factors of 55155 and 55165.

Prime Factorization of 55155

Prime factors of 55155 are 3, 5, 3677. Prime factorization of 55155 in exponential form is:

55155 = 31 × 51 × 36771

Prime Factorization of 55165

Prime factors of 55165 are 5, 11, 17, 59. Prime factorization of 55165 in exponential form is:

55165 = 51 × 111 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 55155 and 55165.

LCM(55155,55165) = 31 × 51 × 36771 × 111 × 171 × 591
LCM(55155,55165) = 608525115