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What is the Least Common Multiple of 91344 and 91357?

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 91344 and 91357 is 8344913808.

LCM(91344,91357) = 8344913808

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Least Common Multiple of 91344 and 91357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91344 and 91357, than apply into the LCM equation.

GCF(91344,91357) = 1
LCM(91344,91357) = ( 91344 × 91357) / 1
LCM(91344,91357) = 8344913808 / 1
LCM(91344,91357) = 8344913808

Least Common Multiple (LCM) of 91344 and 91357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91344 and 91357. First we will calculate the prime factors of 91344 and 91357.

Prime Factorization of 91344

Prime factors of 91344 are 2, 3, 11, 173. Prime factorization of 91344 in exponential form is:

91344 = 24 × 31 × 111 × 1731

Prime Factorization of 91357

Prime factors of 91357 are 7, 31, 421. Prime factorization of 91357 in exponential form is:

91357 = 71 × 311 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 91344 and 91357.

LCM(91344,91357) = 24 × 31 × 111 × 1731 × 71 × 311 × 4211
LCM(91344,91357) = 8344913808