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What is the Least Common Multiple of 79547 and 79555?

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 79547 and 79555 is 6328361585.

LCM(79547,79555) = 6328361585

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Least Common Multiple of 79547 and 79555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79547 and 79555, than apply into the LCM equation.

GCF(79547,79555) = 1
LCM(79547,79555) = ( 79547 × 79555) / 1
LCM(79547,79555) = 6328361585 / 1
LCM(79547,79555) = 6328361585

Least Common Multiple (LCM) of 79547 and 79555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79547 and 79555. First we will calculate the prime factors of 79547 and 79555.

Prime Factorization of 79547

Prime factors of 79547 are 13, 29, 211. Prime factorization of 79547 in exponential form is:

79547 = 131 × 291 × 2111

Prime Factorization of 79555

Prime factors of 79555 are 5, 7, 2273. Prime factorization of 79555 in exponential form is:

79555 = 51 × 71 × 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 79547 and 79555.

LCM(79547,79555) = 131 × 291 × 2111 × 51 × 71 × 22731
LCM(79547,79555) = 6328361585