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What is the Least Common Multiple of 91679 and 91694?

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 91679 and 91694 is 8406414226.

LCM(91679,91694) = 8406414226

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Least Common Multiple of 91679 and 91694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91679 and 91694, than apply into the LCM equation.

GCF(91679,91694) = 1
LCM(91679,91694) = ( 91679 × 91694) / 1
LCM(91679,91694) = 8406414226 / 1
LCM(91679,91694) = 8406414226

Least Common Multiple (LCM) of 91679 and 91694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91679 and 91694. First we will calculate the prime factors of 91679 and 91694.

Prime Factorization of 91679

Prime factors of 91679 are 7, 1871. Prime factorization of 91679 in exponential form is:

91679 = 72 × 18711

Prime Factorization of 91694

Prime factors of 91694 are 2, 19, 127. Prime factorization of 91694 in exponential form is:

91694 = 21 × 192 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 91679 and 91694.

LCM(91679,91694) = 72 × 18711 × 21 × 192 × 1271
LCM(91679,91694) = 8406414226