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What is the Least Common Multiple of 96103 and 96107?

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 96103 and 96107 is 9236171021.

LCM(96103,96107) = 9236171021

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Least Common Multiple of 96103 and 96107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96103 and 96107, than apply into the LCM equation.

GCF(96103,96107) = 1
LCM(96103,96107) = ( 96103 × 96107) / 1
LCM(96103,96107) = 9236171021 / 1
LCM(96103,96107) = 9236171021

Least Common Multiple (LCM) of 96103 and 96107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96103 and 96107. First we will calculate the prime factors of 96103 and 96107.

Prime Factorization of 96103

Prime factors of 96103 are 7, 13729. Prime factorization of 96103 in exponential form is:

96103 = 71 × 137291

Prime Factorization of 96107

Prime factors of 96107 are 11, 8737. Prime factorization of 96107 in exponential form is:

96107 = 111 × 87371

Now multiplying the highest exponent prime factors to calculate the LCM of 96103 and 96107.

LCM(96103,96107) = 71 × 137291 × 111 × 87371
LCM(96103,96107) = 9236171021