What is the Least Common Multiple of 90750 and 90768?

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 90750 and 90768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90750 and 90768, than apply into the LCM equation.

GCF(90750,90768) = 6
LCM(90750,90768) = ( 90750 × 90768) / 6
LCM(90750,90768) = 8237196000 / 6
LCM(90750,90768) = 1372866000

Least Common Multiple (LCM) of 90750 and 90768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90750 and 90768. First we will calculate the prime factors of 90750 and 90768.

Prime Factorization of 90750

Prime Factorization of 90768

Now multiplying the highest exponent prime factors to calculate the LCM of 90750 and 90768.

LCM(90750,90768) = 2⁴ × 3¹ × 5³ × 11² × 31¹ × 61¹
LCM(90750,90768) = 1372866000