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What is the Least Common Multiple of 87617 and 87629?

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 87617 and 87629 is 7677790093.

LCM(87617,87629) = 7677790093

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Least Common Multiple of 87617 and 87629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87617 and 87629, than apply into the LCM equation.

GCF(87617,87629) = 1
LCM(87617,87629) = ( 87617 × 87629) / 1
LCM(87617,87629) = 7677790093 / 1
LCM(87617,87629) = 7677790093

Least Common Multiple (LCM) of 87617 and 87629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87617 and 87629. First we will calculate the prime factors of 87617 and 87629.

Prime Factorization of 87617

Prime factors of 87617 are 41, 2137. Prime factorization of 87617 in exponential form is:

87617 = 411 × 21371

Prime Factorization of 87629

Prime factors of 87629 are 87629. Prime factorization of 87629 in exponential form is:

87629 = 876291

Now multiplying the highest exponent prime factors to calculate the LCM of 87617 and 87629.

LCM(87617,87629) = 411 × 21371 × 876291
LCM(87617,87629) = 7677790093