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What is the Least Common Multiple of 93328 and 93337?

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 93328 and 93337 is 8710955536.

LCM(93328,93337) = 8710955536

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Least Common Multiple of 93328 and 93337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93328 and 93337, than apply into the LCM equation.

GCF(93328,93337) = 1
LCM(93328,93337) = ( 93328 × 93337) / 1
LCM(93328,93337) = 8710955536 / 1
LCM(93328,93337) = 8710955536

Least Common Multiple (LCM) of 93328 and 93337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93328 and 93337. First we will calculate the prime factors of 93328 and 93337.

Prime Factorization of 93328

Prime factors of 93328 are 2, 19, 307. Prime factorization of 93328 in exponential form is:

93328 = 24 × 191 × 3071

Prime Factorization of 93337

Prime factors of 93337 are 93337. Prime factorization of 93337 in exponential form is:

93337 = 933371

Now multiplying the highest exponent prime factors to calculate the LCM of 93328 and 93337.

LCM(93328,93337) = 24 × 191 × 3071 × 933371
LCM(93328,93337) = 8710955536