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What is the Least Common Multiple of 91708 and 91726?

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 91708 and 91726 is 4206004004.

LCM(91708,91726) = 4206004004

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Least Common Multiple of 91708 and 91726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91708 and 91726, than apply into the LCM equation.

GCF(91708,91726) = 2
LCM(91708,91726) = ( 91708 × 91726) / 2
LCM(91708,91726) = 8412008008 / 2
LCM(91708,91726) = 4206004004

Least Common Multiple (LCM) of 91708 and 91726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91708 and 91726. First we will calculate the prime factors of 91708 and 91726.

Prime Factorization of 91708

Prime factors of 91708 are 2, 101, 227. Prime factorization of 91708 in exponential form is:

91708 = 22 × 1011 × 2271

Prime Factorization of 91726

Prime factors of 91726 are 2, 45863. Prime factorization of 91726 in exponential form is:

91726 = 21 × 458631

Now multiplying the highest exponent prime factors to calculate the LCM of 91708 and 91726.

LCM(91708,91726) = 22 × 1011 × 2271 × 458631
LCM(91708,91726) = 4206004004