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What is the Least Common Multiple of 99397 and 99416?

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 99397 and 99416 is 9881652152.

LCM(99397,99416) = 9881652152

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Least Common Multiple of 99397 and 99416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99397 and 99416, than apply into the LCM equation.

GCF(99397,99416) = 1
LCM(99397,99416) = ( 99397 × 99416) / 1
LCM(99397,99416) = 9881652152 / 1
LCM(99397,99416) = 9881652152

Least Common Multiple (LCM) of 99397 and 99416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99397 and 99416. First we will calculate the prime factors of 99397 and 99416.

Prime Factorization of 99397

Prime factors of 99397 are 99397. Prime factorization of 99397 in exponential form is:

99397 = 993971

Prime Factorization of 99416

Prime factors of 99416 are 2, 17, 43. Prime factorization of 99416 in exponential form is:

99416 = 23 × 172 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 99397 and 99416.

LCM(99397,99416) = 993971 × 23 × 172 × 431
LCM(99397,99416) = 9881652152