What is the Least Common Multiple of 73776 and 73796?

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 73796 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 73796, than apply into the LCM equation.

GCF(73776,73796) = 4
LCM(73776,73796) = ( 73776 × 73796) / 4
LCM(73776,73796) = 5444373696 / 4
LCM(73776,73796) = 1361093424

Least Common Multiple (LCM) of 73776 and 73796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73776 and 73796. First we will calculate the prime factors of 73776 and 73796.

Prime Factorization of 73776

Prime Factorization of 73796

Now multiplying the highest exponent prime factors to calculate the LCM of 73776 and 73796.

LCM(73776,73796) = 2⁴ × 3¹ × 29¹ × 53¹ × 19¹ × 971¹
LCM(73776,73796) = 1361093424