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What is the Least Common Multiple of 96877 and 96881?

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 96877 and 96881 is 9385540637.

LCM(96877,96881) = 9385540637

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Least Common Multiple of 96877 and 96881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96877 and 96881, than apply into the LCM equation.

GCF(96877,96881) = 1
LCM(96877,96881) = ( 96877 × 96881) / 1
LCM(96877,96881) = 9385540637 / 1
LCM(96877,96881) = 9385540637

Least Common Multiple (LCM) of 96877 and 96881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96877 and 96881. First we will calculate the prime factors of 96877 and 96881.

Prime Factorization of 96877

Prime factors of 96877 are 11, 8807. Prime factorization of 96877 in exponential form is:

96877 = 111 × 88071

Prime Factorization of 96881

Prime factors of 96881 are 19, 5099. Prime factorization of 96881 in exponential form is:

96881 = 191 × 50991

Now multiplying the highest exponent prime factors to calculate the LCM of 96877 and 96881.

LCM(96877,96881) = 111 × 88071 × 191 × 50991
LCM(96877,96881) = 9385540637