What is the Least Common Multiple of 90582 and 90588?

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 90582 and 90588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90582 and 90588, than apply into the LCM equation.

GCF(90582,90588) = 6
LCM(90582,90588) = ( 90582 × 90588) / 6
LCM(90582,90588) = 8205642216 / 6
LCM(90582,90588) = 1367607036

Least Common Multiple (LCM) of 90582 and 90588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90582 and 90588. First we will calculate the prime factors of 90582 and 90588.

Prime Factorization of 90582

Prime Factorization of 90588

Now multiplying the highest exponent prime factors to calculate the LCM of 90582 and 90588.

LCM(90582,90588) = 2² × 3¹ × 31¹ × 487¹ × 7549¹
LCM(90582,90588) = 1367607036