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What is the Least Common Multiple of 88651 and 88669?

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 88651 and 88669 is 7860595519.

LCM(88651,88669) = 7860595519

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Least Common Multiple of 88651 and 88669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88651 and 88669, than apply into the LCM equation.

GCF(88651,88669) = 1
LCM(88651,88669) = ( 88651 × 88669) / 1
LCM(88651,88669) = 7860595519 / 1
LCM(88651,88669) = 7860595519

Least Common Multiple (LCM) of 88651 and 88669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88651 and 88669. First we will calculate the prime factors of 88651 and 88669.

Prime Factorization of 88651

Prime factors of 88651 are 88651. Prime factorization of 88651 in exponential form is:

88651 = 886511

Prime Factorization of 88669

Prime factors of 88669 are 7, 53, 239. Prime factorization of 88669 in exponential form is:

88669 = 71 × 531 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 88651 and 88669.

LCM(88651,88669) = 886511 × 71 × 531 × 2391
LCM(88651,88669) = 7860595519