What is the Least Common Multiple of 73575 and 73584?

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 73575 and 73584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73575 and 73584, than apply into the LCM equation.

GCF(73575,73584) = 9
LCM(73575,73584) = ( 73575 × 73584) / 9
LCM(73575,73584) = 5413942800 / 9
LCM(73575,73584) = 601549200

Least Common Multiple (LCM) of 73575 and 73584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73575 and 73584. First we will calculate the prime factors of 73575 and 73584.

Prime Factorization of 73575

Prime Factorization of 73584

Now multiplying the highest exponent prime factors to calculate the LCM of 73575 and 73584.

LCM(73575,73584) = 3³ × 5² × 109¹ × 2⁴ × 7¹ × 73¹
LCM(73575,73584) = 601549200