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What is the Least Common Multiple of 96551 and 96555?

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 96551 and 96555 is 9322481805.

LCM(96551,96555) = 9322481805

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Least Common Multiple of 96551 and 96555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96551 and 96555, than apply into the LCM equation.

GCF(96551,96555) = 1
LCM(96551,96555) = ( 96551 × 96555) / 1
LCM(96551,96555) = 9322481805 / 1
LCM(96551,96555) = 9322481805

Least Common Multiple (LCM) of 96551 and 96555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96551 and 96555. First we will calculate the prime factors of 96551 and 96555.

Prime Factorization of 96551

Prime factors of 96551 are 7, 13, 1061. Prime factorization of 96551 in exponential form is:

96551 = 71 × 131 × 10611

Prime Factorization of 96555

Prime factors of 96555 are 3, 5, 41, 157. Prime factorization of 96555 in exponential form is:

96555 = 31 × 51 × 411 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 96551 and 96555.

LCM(96551,96555) = 71 × 131 × 10611 × 31 × 51 × 411 × 1571
LCM(96551,96555) = 9322481805