What is the Least Common Multiple of 73704 and 73723?

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 73704 and 73723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73704 and 73723, than apply into the LCM equation.

GCF(73704,73723) = 1
LCM(73704,73723) = ( 73704 × 73723) / 1
LCM(73704,73723) = 5433679992 / 1
LCM(73704,73723) = 5433679992

Least Common Multiple (LCM) of 73704 and 73723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73704 and 73723. First we will calculate the prime factors of 73704 and 73723.

Prime Factorization of 73704

Prime Factorization of 73723

Now multiplying the highest exponent prime factors to calculate the LCM of 73704 and 73723.

LCM(73704,73723) = 2³ × 3¹ × 37¹ × 83¹ × 13¹ × 53¹ × 107¹
LCM(73704,73723) = 5433679992