What is the Least Common Multiple of 72939 and 72948?

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 72939 and 72948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72939 and 72948, than apply into the LCM equation.

GCF(72939,72948) = 3
LCM(72939,72948) = ( 72939 × 72948) / 3
LCM(72939,72948) = 5320754172 / 3
LCM(72939,72948) = 1773584724

Least Common Multiple (LCM) of 72939 and 72948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72939 and 72948. First we will calculate the prime factors of 72939 and 72948.

Prime Factorization of 72939

Prime Factorization of 72948

Now multiplying the highest exponent prime factors to calculate the LCM of 72939 and 72948.

LCM(72939,72948) = 3¹ × 41¹ × 593¹ × 2² × 6079¹
LCM(72939,72948) = 1773584724