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What is the Least Common Multiple of 73163 and 73176?

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 73163 and 73176 is 5353775688.

LCM(73163,73176) = 5353775688

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Least Common Multiple of 73163 and 73176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73163 and 73176, than apply into the LCM equation.

GCF(73163,73176) = 1
LCM(73163,73176) = ( 73163 × 73176) / 1
LCM(73163,73176) = 5353775688 / 1
LCM(73163,73176) = 5353775688

Least Common Multiple (LCM) of 73163 and 73176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73163 and 73176. First we will calculate the prime factors of 73163 and 73176.

Prime Factorization of 73163

Prime factors of 73163 are 23, 3181. Prime factorization of 73163 in exponential form is:

73163 = 231 × 31811

Prime Factorization of 73176

Prime factors of 73176 are 2, 3, 3049. Prime factorization of 73176 in exponential form is:

73176 = 23 × 31 × 30491

Now multiplying the highest exponent prime factors to calculate the LCM of 73163 and 73176.

LCM(73163,73176) = 231 × 31811 × 23 × 31 × 30491
LCM(73163,73176) = 5353775688