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What is the Least Common Multiple of 91375 and 91394?

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 91375 and 91394 is 8351126750.

LCM(91375,91394) = 8351126750

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Least Common Multiple of 91375 and 91394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91375 and 91394, than apply into the LCM equation.

GCF(91375,91394) = 1
LCM(91375,91394) = ( 91375 × 91394) / 1
LCM(91375,91394) = 8351126750 / 1
LCM(91375,91394) = 8351126750

Least Common Multiple (LCM) of 91375 and 91394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91375 and 91394. First we will calculate the prime factors of 91375 and 91394.

Prime Factorization of 91375

Prime factors of 91375 are 5, 17, 43. Prime factorization of 91375 in exponential form is:

91375 = 53 × 171 × 431

Prime Factorization of 91394

Prime factors of 91394 are 2, 45697. Prime factorization of 91394 in exponential form is:

91394 = 21 × 456971

Now multiplying the highest exponent prime factors to calculate the LCM of 91375 and 91394.

LCM(91375,91394) = 53 × 171 × 431 × 21 × 456971
LCM(91375,91394) = 8351126750