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What is the Least Common Multiple of 88529 and 88535?

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 88529 and 88535 is 7837915015.

LCM(88529,88535) = 7837915015

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Least Common Multiple of 88529 and 88535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88529 and 88535, than apply into the LCM equation.

GCF(88529,88535) = 1
LCM(88529,88535) = ( 88529 × 88535) / 1
LCM(88529,88535) = 7837915015 / 1
LCM(88529,88535) = 7837915015

Least Common Multiple (LCM) of 88529 and 88535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88529 and 88535. First we will calculate the prime factors of 88529 and 88535.

Prime Factorization of 88529

Prime factors of 88529 are 7, 12647. Prime factorization of 88529 in exponential form is:

88529 = 71 × 126471

Prime Factorization of 88535

Prime factors of 88535 are 5, 17707. Prime factorization of 88535 in exponential form is:

88535 = 51 × 177071

Now multiplying the highest exponent prime factors to calculate the LCM of 88529 and 88535.

LCM(88529,88535) = 71 × 126471 × 51 × 177071
LCM(88529,88535) = 7837915015