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What is the Least Common Multiple of 88575 and 88594?

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 88575 and 88594 is 7847213550.

LCM(88575,88594) = 7847213550

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Least Common Multiple of 88575 and 88594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88575 and 88594, than apply into the LCM equation.

GCF(88575,88594) = 1
LCM(88575,88594) = ( 88575 × 88594) / 1
LCM(88575,88594) = 7847213550 / 1
LCM(88575,88594) = 7847213550

Least Common Multiple (LCM) of 88575 and 88594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88575 and 88594. First we will calculate the prime factors of 88575 and 88594.

Prime Factorization of 88575

Prime factors of 88575 are 3, 5, 1181. Prime factorization of 88575 in exponential form is:

88575 = 31 × 52 × 11811

Prime Factorization of 88594

Prime factors of 88594 are 2, 11, 4027. Prime factorization of 88594 in exponential form is:

88594 = 21 × 111 × 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 88575 and 88594.

LCM(88575,88594) = 31 × 52 × 11811 × 21 × 111 × 40271
LCM(88575,88594) = 7847213550