What is the Least Common Multiple of 73580 and 73593?

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 73580 and 73593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73580 and 73593, than apply into the LCM equation.

GCF(73580,73593) = 13
LCM(73580,73593) = ( 73580 × 73593) / 13
LCM(73580,73593) = 5414972940 / 13
LCM(73580,73593) = 416536380

Least Common Multiple (LCM) of 73580 and 73593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73580 and 73593. First we will calculate the prime factors of 73580 and 73593.

Prime Factorization of 73580

Prime Factorization of 73593

Now multiplying the highest exponent prime factors to calculate the LCM of 73580 and 73593.

LCM(73580,73593) = 2² × 5¹ × 13¹ × 283¹ × 3² × 17¹ × 37¹
LCM(73580,73593) = 416536380