What is the Least Common Multiple of 79171 and 79183?

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 79171 and 79183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79171 and 79183, than apply into the LCM equation.

GCF(79171,79183) = 1
LCM(79171,79183) = ( 79171 × 79183) / 1
LCM(79171,79183) = 6268997293 / 1
LCM(79171,79183) = 6268997293

Least Common Multiple (LCM) of 79171 and 79183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79171 and 79183. First we will calculate the prime factors of 79171 and 79183.

Prime Factorization of 79171

Prime Factorization of 79183

Now multiplying the highest exponent prime factors to calculate the LCM of 79171 and 79183.

LCM(79171,79183) = 41¹ × 1931¹ × 13¹ × 6091¹
LCM(79171,79183) = 6268997293