What is the Least Common Multiple of 73590 and 73608?

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 73590 and 73608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73590 and 73608, than apply into the LCM equation.

GCF(73590,73608) = 6
LCM(73590,73608) = ( 73590 × 73608) / 6
LCM(73590,73608) = 5416812720 / 6
LCM(73590,73608) = 902802120

Least Common Multiple (LCM) of 73590 and 73608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73590 and 73608. First we will calculate the prime factors of 73590 and 73608.

Prime Factorization of 73590

Prime Factorization of 73608

Now multiplying the highest exponent prime factors to calculate the LCM of 73590 and 73608.

LCM(73590,73608) = 2³ × 3¹ × 5¹ × 11¹ × 223¹ × 3067¹
LCM(73590,73608) = 902802120