What is the Least Common Multiple of 73015 and 73032?

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 73015 and 73032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73015 and 73032, than apply into the LCM equation.

GCF(73015,73032) = 17
LCM(73015,73032) = ( 73015 × 73032) / 17
LCM(73015,73032) = 5332431480 / 17
LCM(73015,73032) = 313672440

Least Common Multiple (LCM) of 73015 and 73032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73015 and 73032. First we will calculate the prime factors of 73015 and 73032.

Prime Factorization of 73015

Prime Factorization of 73032

Now multiplying the highest exponent prime factors to calculate the LCM of 73015 and 73032.

LCM(73015,73032) = 5¹ × 17¹ × 859¹ × 2³ × 3¹ × 179¹
LCM(73015,73032) = 313672440