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What is the Least Common Multiple of 99152 and 99165?

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 99152 and 99165 is 9832408080.

LCM(99152,99165) = 9832408080

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Least Common Multiple of 99152 and 99165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99152 and 99165, than apply into the LCM equation.

GCF(99152,99165) = 1
LCM(99152,99165) = ( 99152 × 99165) / 1
LCM(99152,99165) = 9832408080 / 1
LCM(99152,99165) = 9832408080

Least Common Multiple (LCM) of 99152 and 99165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99152 and 99165. First we will calculate the prime factors of 99152 and 99165.

Prime Factorization of 99152

Prime factors of 99152 are 2, 6197. Prime factorization of 99152 in exponential form is:

99152 = 24 × 61971

Prime Factorization of 99165

Prime factors of 99165 are 3, 5, 11, 601. Prime factorization of 99165 in exponential form is:

99165 = 31 × 51 × 111 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 99152 and 99165.

LCM(99152,99165) = 24 × 61971 × 31 × 51 × 111 × 6011
LCM(99152,99165) = 9832408080