What is the Least Common Multiple of 73509 and 73521?

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 73509 and 73521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73509 and 73521, than apply into the LCM equation.

GCF(73509,73521) = 3
LCM(73509,73521) = ( 73509 × 73521) / 3
LCM(73509,73521) = 5404455189 / 3
LCM(73509,73521) = 1801485063

Least Common Multiple (LCM) of 73509 and 73521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73509 and 73521. First we will calculate the prime factors of 73509 and 73521.

Prime Factorization of 73509

Prime Factorization of 73521

Now multiplying the highest exponent prime factors to calculate the LCM of 73509 and 73521.

LCM(73509,73521) = 3³ × 107¹ × 229¹ × 7¹ × 389¹
LCM(73509,73521) = 1801485063