What is the Least Common Multiple of 79036 and 79049?

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 79036 and 79049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79036 and 79049, than apply into the LCM equation.

GCF(79036,79049) = 1
LCM(79036,79049) = ( 79036 × 79049) / 1
LCM(79036,79049) = 6247716764 / 1
LCM(79036,79049) = 6247716764

Least Common Multiple (LCM) of 79036 and 79049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79036 and 79049. First we will calculate the prime factors of 79036 and 79049.

Prime Factorization of 79036

Prime Factorization of 79049

Now multiplying the highest exponent prime factors to calculate the LCM of 79036 and 79049.

LCM(79036,79049) = 2² × 19759¹ × 137¹ × 577¹
LCM(79036,79049) = 6247716764