What is the Least Common Multiple of 73047 and 73065?

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 73047 and 73065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73047 and 73065, than apply into the LCM equation.

GCF(73047,73065) = 3
LCM(73047,73065) = ( 73047 × 73065) / 3
LCM(73047,73065) = 5337179055 / 3
LCM(73047,73065) = 1779059685

Least Common Multiple (LCM) of 73047 and 73065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73047 and 73065. First we will calculate the prime factors of 73047 and 73065.

Prime Factorization of 73047

Prime Factorization of 73065

Now multiplying the highest exponent prime factors to calculate the LCM of 73047 and 73065.

LCM(73047,73065) = 3¹ × 13¹ × 1873¹ × 5¹ × 4871¹
LCM(73047,73065) = 1779059685