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What is the Least Common Multiple of 96851 and 96856?

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 96851 and 96856 is 9380600456.

LCM(96851,96856) = 9380600456

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Least Common Multiple of 96851 and 96856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96851 and 96856, than apply into the LCM equation.

GCF(96851,96856) = 1
LCM(96851,96856) = ( 96851 × 96856) / 1
LCM(96851,96856) = 9380600456 / 1
LCM(96851,96856) = 9380600456

Least Common Multiple (LCM) of 96851 and 96856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96851 and 96856. First we will calculate the prime factors of 96851 and 96856.

Prime Factorization of 96851

Prime factors of 96851 are 96851. Prime factorization of 96851 in exponential form is:

96851 = 968511

Prime Factorization of 96856

Prime factors of 96856 are 2, 12107. Prime factorization of 96856 in exponential form is:

96856 = 23 × 121071

Now multiplying the highest exponent prime factors to calculate the LCM of 96851 and 96856.

LCM(96851,96856) = 968511 × 23 × 121071
LCM(96851,96856) = 9380600456