What is the Least Common Multiple of 73776 and 73786?

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 73786 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 73786, than apply into the LCM equation.

GCF(73776,73786) = 2
LCM(73776,73786) = ( 73776 × 73786) / 2
LCM(73776,73786) = 5443635936 / 2
LCM(73776,73786) = 2721817968

Least Common Multiple (LCM) of 73776 and 73786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73776 and 73786. First we will calculate the prime factors of 73776 and 73786.

Prime Factorization of 73776

Prime Factorization of 73786

Now multiplying the highest exponent prime factors to calculate the LCM of 73776 and 73786.

LCM(73776,73786) = 2⁴ × 3¹ × 29¹ × 53¹ × 79¹ × 467¹
LCM(73776,73786) = 2721817968