What is the Least Common Multiple of 72933 and 72949?

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 72933 and 72949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72933 and 72949, than apply into the LCM equation.

GCF(72933,72949) = 1
LCM(72933,72949) = ( 72933 × 72949) / 1
LCM(72933,72949) = 5320389417 / 1
LCM(72933,72949) = 5320389417

Least Common Multiple (LCM) of 72933 and 72949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72933 and 72949. First we will calculate the prime factors of 72933 and 72949.

Prime Factorization of 72933

Prime Factorization of 72949

Now multiplying the highest exponent prime factors to calculate the LCM of 72933 and 72949.

LCM(72933,72949) = 3¹ × 7¹ × 23¹ × 151¹ × 72949¹
LCM(72933,72949) = 5320389417