What is the Least Common Multiple of 90574 and 90580?

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 90574 and 90580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90574 and 90580, than apply into the LCM equation.

GCF(90574,90580) = 2
LCM(90574,90580) = ( 90574 × 90580) / 2
LCM(90574,90580) = 8204192920 / 2
LCM(90574,90580) = 4102096460

Least Common Multiple (LCM) of 90574 and 90580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90574 and 90580. First we will calculate the prime factors of 90574 and 90580.

Prime Factorization of 90574

Prime Factorization of 90580

Now multiplying the highest exponent prime factors to calculate the LCM of 90574 and 90580.

LCM(90574,90580) = 2² × 11¹ × 23¹ × 179¹ × 5¹ × 7¹ × 647¹
LCM(90574,90580) = 4102096460