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What is the Least Common Multiple of 91681 and 91696?

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 91681 and 91696 is 8406780976.

LCM(91681,91696) = 8406780976

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Least Common Multiple of 91681 and 91696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91681 and 91696, than apply into the LCM equation.

GCF(91681,91696) = 1
LCM(91681,91696) = ( 91681 × 91696) / 1
LCM(91681,91696) = 8406780976 / 1
LCM(91681,91696) = 8406780976

Least Common Multiple (LCM) of 91681 and 91696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91681 and 91696. First we will calculate the prime factors of 91681 and 91696.

Prime Factorization of 91681

Prime factors of 91681 are 17, 5393. Prime factorization of 91681 in exponential form is:

91681 = 171 × 53931

Prime Factorization of 91696

Prime factors of 91696 are 2, 11, 521. Prime factorization of 91696 in exponential form is:

91696 = 24 × 111 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 91681 and 91696.

LCM(91681,91696) = 171 × 53931 × 24 × 111 × 5211
LCM(91681,91696) = 8406780976