What is the Least Common Multiple of 90356 and 90368?

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 90356 and 90368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90356 and 90368, than apply into the LCM equation.

GCF(90356,90368) = 4
LCM(90356,90368) = ( 90356 × 90368) / 4
LCM(90356,90368) = 8165291008 / 4
LCM(90356,90368) = 2041322752

Least Common Multiple (LCM) of 90356 and 90368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90356 and 90368. First we will calculate the prime factors of 90356 and 90368.

Prime Factorization of 90356

Prime Factorization of 90368

Now multiplying the highest exponent prime factors to calculate the LCM of 90356 and 90368.

LCM(90356,90368) = 2⁸ × 7² × 461¹ × 353¹
LCM(90356,90368) = 2041322752