What is the Least Common Multiple of 72335 and 72348?

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 72335 and 72348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72335 and 72348, than apply into the LCM equation.

GCF(72335,72348) = 1
LCM(72335,72348) = ( 72335 × 72348) / 1
LCM(72335,72348) = 5233292580 / 1
LCM(72335,72348) = 5233292580

Least Common Multiple (LCM) of 72335 and 72348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72335 and 72348. First we will calculate the prime factors of 72335 and 72348.

Prime Factorization of 72335

Prime Factorization of 72348

Now multiplying the highest exponent prime factors to calculate the LCM of 72335 and 72348.

LCM(72335,72348) = 5¹ × 17¹ × 23¹ × 37¹ × 2² × 3¹ × 6029¹
LCM(72335,72348) = 5233292580