What is the Least Common Multiple of 73569 and 73575?

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 73569 and 73575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73569 and 73575, than apply into the LCM equation.

GCF(73569,73575) = 3
LCM(73569,73575) = ( 73569 × 73575) / 3
LCM(73569,73575) = 5412839175 / 3
LCM(73569,73575) = 1804279725

Least Common Multiple (LCM) of 73569 and 73575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73569 and 73575. First we will calculate the prime factors of 73569 and 73575.

Prime Factorization of 73569

Prime Factorization of 73575

Now multiplying the highest exponent prime factors to calculate the LCM of 73569 and 73575.

LCM(73569,73575) = 3³ × 137¹ × 179¹ × 5² × 109¹
LCM(73569,73575) = 1804279725