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What is the Least Common Multiple of 91675 and 91682?

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 91675 and 91682 is 8404947350.

LCM(91675,91682) = 8404947350

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Least Common Multiple of 91675 and 91682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91675 and 91682, than apply into the LCM equation.

GCF(91675,91682) = 1
LCM(91675,91682) = ( 91675 × 91682) / 1
LCM(91675,91682) = 8404947350 / 1
LCM(91675,91682) = 8404947350

Least Common Multiple (LCM) of 91675 and 91682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91675 and 91682. First we will calculate the prime factors of 91675 and 91682.

Prime Factorization of 91675

Prime factors of 91675 are 5, 19, 193. Prime factorization of 91675 in exponential form is:

91675 = 52 × 191 × 1931

Prime Factorization of 91682

Prime factors of 91682 are 2, 45841. Prime factorization of 91682 in exponential form is:

91682 = 21 × 458411

Now multiplying the highest exponent prime factors to calculate the LCM of 91675 and 91682.

LCM(91675,91682) = 52 × 191 × 1931 × 21 × 458411
LCM(91675,91682) = 8404947350