What is the Least Common Multiple of 79036 and 79054?

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 79054 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 79054, than apply into the LCM equation.

GCF(79036,79054) = 2
LCM(79036,79054) = ( 79036 × 79054) / 2
LCM(79036,79054) = 6248111944 / 2
LCM(79036,79054) = 3124055972

Least Common Multiple (LCM) of 79036 and 79054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79036 and 79054. First we will calculate the prime factors of 79036 and 79054.

Prime Factorization of 79036

Prime Factorization of 79054

Now multiplying the highest exponent prime factors to calculate the LCM of 79036 and 79054.

LCM(79036,79054) = 2² × 19759¹ × 29² × 47¹
LCM(79036,79054) = 3124055972