What is the Least Common Multiple of 79136 and 79145?

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 of 79136 and 79145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79136 and 79145, than apply into the LCM equation.

GCF(79136,79145) = 1
LCM(79136,79145) = ( 79136 × 79145) / 1
LCM(79136,79145) = 6263218720 / 1
LCM(79136,79145) = 6263218720

Least Common Multiple (LCM) of 79136 and 79145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79136 and 79145. First we will calculate the prime factors of 79136 and 79145.

Prime Factorization of 79136

Prime Factorization of 79145

Now multiplying the highest exponent prime factors to calculate the LCM of 79136 and 79145.

LCM(79136,79145) = 2⁵ × 2473¹ × 5¹ × 11¹ × 1439¹
LCM(79136,79145) = 6263218720