What is the Least Common Multiple of 79054 and 79072?

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 79054 and 79072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79054 and 79072, than apply into the LCM equation.

GCF(79054,79072) = 2
LCM(79054,79072) = ( 79054 × 79072) / 2
LCM(79054,79072) = 6250957888 / 2
LCM(79054,79072) = 3125478944

Least Common Multiple (LCM) of 79054 and 79072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79054 and 79072. First we will calculate the prime factors of 79054 and 79072.

Prime Factorization of 79054

Prime Factorization of 79072

Now multiplying the highest exponent prime factors to calculate the LCM of 79054 and 79072.

LCM(79054,79072) = 2⁵ × 29² × 47¹ × 7¹ × 353¹
LCM(79054,79072) = 3125478944