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What is the Least Common Multiple of 99137 and 99153?

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 99137 and 99153 is 9829730961.

LCM(99137,99153) = 9829730961

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Least Common Multiple of 99137 and 99153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99137 and 99153, than apply into the LCM equation.

GCF(99137,99153) = 1
LCM(99137,99153) = ( 99137 × 99153) / 1
LCM(99137,99153) = 9829730961 / 1
LCM(99137,99153) = 9829730961

Least Common Multiple (LCM) of 99137 and 99153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99137 and 99153. First we will calculate the prime factors of 99137 and 99153.

Prime Factorization of 99137

Prime factors of 99137 are 99137. Prime factorization of 99137 in exponential form is:

99137 = 991371

Prime Factorization of 99153

Prime factors of 99153 are 3, 23, 479. Prime factorization of 99153 in exponential form is:

99153 = 32 × 231 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 99137 and 99153.

LCM(99137,99153) = 991371 × 32 × 231 × 4791
LCM(99137,99153) = 9829730961