What is the Least Common Multiple of 72714 and 72723?

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 72714 and 72723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72714 and 72723, than apply into the LCM equation.

GCF(72714,72723) = 3
LCM(72714,72723) = ( 72714 × 72723) / 3
LCM(72714,72723) = 5287980222 / 3
LCM(72714,72723) = 1762660074

Least Common Multiple (LCM) of 72714 and 72723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72714 and 72723. First we will calculate the prime factors of 72714 and 72723.

Prime Factorization of 72714

Prime Factorization of 72723

Now multiplying the highest exponent prime factors to calculate the LCM of 72714 and 72723.

LCM(72714,72723) = 2¹ × 3¹ × 12119¹ × 7¹ × 3463¹
LCM(72714,72723) = 1762660074