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What is the Least Common Multiple of 99076 and 99089?

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 99076 and 99089 is 9817341764.

LCM(99076,99089) = 9817341764

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Least Common Multiple of 99076 and 99089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99076 and 99089, than apply into the LCM equation.

GCF(99076,99089) = 1
LCM(99076,99089) = ( 99076 × 99089) / 1
LCM(99076,99089) = 9817341764 / 1
LCM(99076,99089) = 9817341764

Least Common Multiple (LCM) of 99076 and 99089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99076 and 99089. First we will calculate the prime factors of 99076 and 99089.

Prime Factorization of 99076

Prime factors of 99076 are 2, 17, 31, 47. Prime factorization of 99076 in exponential form is:

99076 = 22 × 171 × 311 × 471

Prime Factorization of 99089

Prime factors of 99089 are 99089. Prime factorization of 99089 in exponential form is:

99089 = 990891

Now multiplying the highest exponent prime factors to calculate the LCM of 99076 and 99089.

LCM(99076,99089) = 22 × 171 × 311 × 471 × 990891
LCM(99076,99089) = 9817341764