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What is the Least Common Multiple of 88599 and 88604?

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 88599 and 88604 is 7850225796.

LCM(88599,88604) = 7850225796

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Least Common Multiple of 88599 and 88604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88599 and 88604, than apply into the LCM equation.

GCF(88599,88604) = 1
LCM(88599,88604) = ( 88599 × 88604) / 1
LCM(88599,88604) = 7850225796 / 1
LCM(88599,88604) = 7850225796

Least Common Multiple (LCM) of 88599 and 88604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88599 and 88604. First we will calculate the prime factors of 88599 and 88604.

Prime Factorization of 88599

Prime factors of 88599 are 3, 7, 4219. Prime factorization of 88599 in exponential form is:

88599 = 31 × 71 × 42191

Prime Factorization of 88604

Prime factors of 88604 are 2, 17, 1303. Prime factorization of 88604 in exponential form is:

88604 = 22 × 171 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 88599 and 88604.

LCM(88599,88604) = 31 × 71 × 42191 × 22 × 171 × 13031
LCM(88599,88604) = 7850225796