What is the Least Common Multiple of 79019 and 79037?

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 79019 and 79037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79019 and 79037, than apply into the LCM equation.

GCF(79019,79037) = 1
LCM(79019,79037) = ( 79019 × 79037) / 1
LCM(79019,79037) = 6245424703 / 1
LCM(79019,79037) = 6245424703

Least Common Multiple (LCM) of 79019 and 79037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79019 and 79037. First we will calculate the prime factors of 79019 and 79037.

Prime Factorization of 79019

Prime Factorization of 79037

Now multiplying the highest exponent prime factors to calculate the LCM of 79019 and 79037.

LCM(79019,79037) = 31¹ × 2549¹ × 7² × 1613¹
LCM(79019,79037) = 6245424703