What is the Least Common Multiple of 90580 and 90599?

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 90580 and 90599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90580 and 90599, than apply into the LCM equation.

GCF(90580,90599) = 1
LCM(90580,90599) = ( 90580 × 90599) / 1
LCM(90580,90599) = 8206457420 / 1
LCM(90580,90599) = 8206457420

Least Common Multiple (LCM) of 90580 and 90599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90580 and 90599. First we will calculate the prime factors of 90580 and 90599.

Prime Factorization of 90580

Prime Factorization of 90599

Now multiplying the highest exponent prime factors to calculate the LCM of 90580 and 90599.

LCM(90580,90599) = 2² × 5¹ × 7¹ × 647¹ × 90599¹
LCM(90580,90599) = 8206457420