What is the Least Common Multiple of 72919 and 72931?

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 72931 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 72931, than apply into the LCM equation.

GCF(72919,72931) = 1
LCM(72919,72931) = ( 72919 × 72931) / 1
LCM(72919,72931) = 5318055589 / 1
LCM(72919,72931) = 5318055589

Least Common Multiple (LCM) of 72919 and 72931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72919 and 72931. First we will calculate the prime factors of 72919 and 72931.

Prime Factorization of 72919

Prime Factorization of 72931

Now multiplying the highest exponent prime factors to calculate the LCM of 72919 and 72931.

LCM(72919,72931) = 7¹ × 11¹ × 947¹ × 72931¹
LCM(72919,72931) = 5318055589