What is the Least Common Multiple of 90570 and 90586?

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 90570 and 90586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90570 and 90586, than apply into the LCM equation.

GCF(90570,90586) = 2
LCM(90570,90586) = ( 90570 × 90586) / 2
LCM(90570,90586) = 8204374020 / 2
LCM(90570,90586) = 4102187010

Least Common Multiple (LCM) of 90570 and 90586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90570 and 90586. First we will calculate the prime factors of 90570 and 90586.

Prime Factorization of 90570

Prime Factorization of 90586

Now multiplying the highest exponent prime factors to calculate the LCM of 90570 and 90586.

LCM(90570,90586) = 2¹ × 3¹ × 5¹ × 3019¹ × 45293¹
LCM(90570,90586) = 4102187010