What is the Least Common Multiple of 79007 and 79027?

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 79007 and 79027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79007 and 79027, than apply into the LCM equation.

GCF(79007,79027) = 1
LCM(79007,79027) = ( 79007 × 79027) / 1
LCM(79007,79027) = 6243686189 / 1
LCM(79007,79027) = 6243686189

Least Common Multiple (LCM) of 79007 and 79027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79007 and 79027. First we will calculate the prime factors of 79007 and 79027.

Prime Factorization of 79007

Prime Factorization of 79027

Now multiplying the highest exponent prime factors to calculate the LCM of 79007 and 79027.

LCM(79007,79027) = 41² × 47¹ × 13¹ × 6079¹
LCM(79007,79027) = 6243686189