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What is the Least Common Multiple of 99043 and 99060?

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 99043 and 99060 is 9811199580.

LCM(99043,99060) = 9811199580

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Least Common Multiple of 99043 and 99060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99043 and 99060, than apply into the LCM equation.

GCF(99043,99060) = 1
LCM(99043,99060) = ( 99043 × 99060) / 1
LCM(99043,99060) = 9811199580 / 1
LCM(99043,99060) = 9811199580

Least Common Multiple (LCM) of 99043 and 99060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99043 and 99060. First we will calculate the prime factors of 99043 and 99060.

Prime Factorization of 99043

Prime factors of 99043 are 7, 14149. Prime factorization of 99043 in exponential form is:

99043 = 71 × 141491

Prime Factorization of 99060

Prime factors of 99060 are 2, 3, 5, 13, 127. Prime factorization of 99060 in exponential form is:

99060 = 22 × 31 × 51 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 99043 and 99060.

LCM(99043,99060) = 71 × 141491 × 22 × 31 × 51 × 131 × 1271
LCM(99043,99060) = 9811199580