What is the Least Common Multiple of 73776 and 73790?

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 73776 and 73790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73776 and 73790, than apply into the LCM equation.

GCF(73776,73790) = 2
LCM(73776,73790) = ( 73776 × 73790) / 2
LCM(73776,73790) = 5443931040 / 2
LCM(73776,73790) = 2721965520

Least Common Multiple (LCM) of 73776 and 73790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73776 and 73790. First we will calculate the prime factors of 73776 and 73790.

Prime Factorization of 73776

Prime Factorization of 73790

Now multiplying the highest exponent prime factors to calculate the LCM of 73776 and 73790.

LCM(73776,73790) = 2⁴ × 3¹ × 29¹ × 53¹ × 5¹ × 47¹ × 157¹
LCM(73776,73790) = 2721965520