What is the Least Common Multiple of 90278 and 90294?

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 90278 and 90294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90278 and 90294, than apply into the LCM equation.

GCF(90278,90294) = 2
LCM(90278,90294) = ( 90278 × 90294) / 2
LCM(90278,90294) = 8151561732 / 2
LCM(90278,90294) = 4075780866

Least Common Multiple (LCM) of 90278 and 90294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90278 and 90294. First we will calculate the prime factors of 90278 and 90294.

Prime Factorization of 90278

Prime Factorization of 90294

Now multiplying the highest exponent prime factors to calculate the LCM of 90278 and 90294.

LCM(90278,90294) = 2¹ × 45139¹ × 3¹ × 101¹ × 149¹
LCM(90278,90294) = 4075780866