What is the Least Common Multiple of 73971 and 73986?

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 73971 and 73986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73971 and 73986, than apply into the LCM equation.

GCF(73971,73986) = 3
LCM(73971,73986) = ( 73971 × 73986) / 3
LCM(73971,73986) = 5472818406 / 3
LCM(73971,73986) = 1824272802

Least Common Multiple (LCM) of 73971 and 73986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73971 and 73986. First we will calculate the prime factors of 73971 and 73986.

Prime Factorization of 73971

Prime Factorization of 73986

Now multiplying the highest exponent prime factors to calculate the LCM of 73971 and 73986.

LCM(73971,73986) = 3² × 8219¹ × 2¹ × 11¹ × 19¹ × 59¹
LCM(73971,73986) = 1824272802