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What is the Least Common Multiple of 79151 and 79169?

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 79151 and 79169 is 6266305519.

LCM(79151,79169) = 6266305519

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Least Common Multiple of 79151 and 79169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79151 and 79169, than apply into the LCM equation.

GCF(79151,79169) = 1
LCM(79151,79169) = ( 79151 × 79169) / 1
LCM(79151,79169) = 6266305519 / 1
LCM(79151,79169) = 6266305519

Least Common Multiple (LCM) of 79151 and 79169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79151 and 79169. First we will calculate the prime factors of 79151 and 79169.

Prime Factorization of 79151

Prime factors of 79151 are 79151. Prime factorization of 79151 in exponential form is:

79151 = 791511

Prime Factorization of 79169

Prime factors of 79169 are 17, 4657. Prime factorization of 79169 in exponential form is:

79169 = 171 × 46571

Now multiplying the highest exponent prime factors to calculate the LCM of 79151 and 79169.

LCM(79151,79169) = 791511 × 171 × 46571
LCM(79151,79169) = 6266305519