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What is the Least Common Multiple of 56095 and 56110?

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 56095 and 56110 is 629498090.

LCM(56095,56110) = 629498090

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Least Common Multiple of 56095 and 56110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56095 and 56110, than apply into the LCM equation.

GCF(56095,56110) = 5
LCM(56095,56110) = ( 56095 × 56110) / 5
LCM(56095,56110) = 3147490450 / 5
LCM(56095,56110) = 629498090

Least Common Multiple (LCM) of 56095 and 56110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56095 and 56110. First we will calculate the prime factors of 56095 and 56110.

Prime Factorization of 56095

Prime factors of 56095 are 5, 13, 863. Prime factorization of 56095 in exponential form is:

56095 = 51 × 131 × 8631

Prime Factorization of 56110

Prime factors of 56110 are 2, 5, 31, 181. Prime factorization of 56110 in exponential form is:

56110 = 21 × 51 × 311 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 56095 and 56110.

LCM(56095,56110) = 51 × 131 × 8631 × 21 × 311 × 1811
LCM(56095,56110) = 629498090