What is the Least Common Multiple of 72919 and 72936?

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 72919 and 72936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72919 and 72936, than apply into the LCM equation.

GCF(72919,72936) = 1
LCM(72919,72936) = ( 72919 × 72936) / 1
LCM(72919,72936) = 5318420184 / 1
LCM(72919,72936) = 5318420184

Least Common Multiple (LCM) of 72919 and 72936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72919 and 72936. First we will calculate the prime factors of 72919 and 72936.

Prime Factorization of 72919

Prime Factorization of 72936

Now multiplying the highest exponent prime factors to calculate the LCM of 72919 and 72936.

LCM(72919,72936) = 7¹ × 11¹ × 947¹ × 2³ × 3² × 1013¹
LCM(72919,72936) = 5318420184