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What is the Least Common Multiple of 91641 and 91651?

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 91641 and 91651 is 8398989291.

LCM(91641,91651) = 8398989291

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Least Common Multiple of 91641 and 91651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91641 and 91651, than apply into the LCM equation.

GCF(91641,91651) = 1
LCM(91641,91651) = ( 91641 × 91651) / 1
LCM(91641,91651) = 8398989291 / 1
LCM(91641,91651) = 8398989291

Least Common Multiple (LCM) of 91641 and 91651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91641 and 91651. First we will calculate the prime factors of 91641 and 91651.

Prime Factorization of 91641

Prime factors of 91641 are 3, 11, 2777. Prime factorization of 91641 in exponential form is:

91641 = 31 × 111 × 27771

Prime Factorization of 91651

Prime factors of 91651 are 7, 13093. Prime factorization of 91651 in exponential form is:

91651 = 71 × 130931

Now multiplying the highest exponent prime factors to calculate the LCM of 91641 and 91651.

LCM(91641,91651) = 31 × 111 × 27771 × 71 × 130931
LCM(91641,91651) = 8398989291