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What is the Least Common Multiple of 96473 and 96485?

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 96473 and 96485 is 9308197405.

LCM(96473,96485) = 9308197405

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Least Common Multiple of 96473 and 96485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96473 and 96485, than apply into the LCM equation.

GCF(96473,96485) = 1
LCM(96473,96485) = ( 96473 × 96485) / 1
LCM(96473,96485) = 9308197405 / 1
LCM(96473,96485) = 9308197405

Least Common Multiple (LCM) of 96473 and 96485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96473 and 96485. First we will calculate the prime factors of 96473 and 96485.

Prime Factorization of 96473

Prime factors of 96473 are 13, 41, 181. Prime factorization of 96473 in exponential form is:

96473 = 131 × 411 × 1811

Prime Factorization of 96485

Prime factors of 96485 are 5, 23, 839. Prime factorization of 96485 in exponential form is:

96485 = 51 × 231 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 96473 and 96485.

LCM(96473,96485) = 131 × 411 × 1811 × 51 × 231 × 8391
LCM(96473,96485) = 9308197405