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What is the Least Common Multiple of 99328 and 99337?

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 99328 and 99337 is 9866945536.

LCM(99328,99337) = 9866945536

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Least Common Multiple of 99328 and 99337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99328 and 99337, than apply into the LCM equation.

GCF(99328,99337) = 1
LCM(99328,99337) = ( 99328 × 99337) / 1
LCM(99328,99337) = 9866945536 / 1
LCM(99328,99337) = 9866945536

Least Common Multiple (LCM) of 99328 and 99337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99328 and 99337. First we will calculate the prime factors of 99328 and 99337.

Prime Factorization of 99328

Prime factors of 99328 are 2, 97. Prime factorization of 99328 in exponential form is:

99328 = 210 × 971

Prime Factorization of 99337

Prime factors of 99337 are 7, 23, 617. Prime factorization of 99337 in exponential form is:

99337 = 71 × 231 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 99328 and 99337.

LCM(99328,99337) = 210 × 971 × 71 × 231 × 6171
LCM(99328,99337) = 9866945536