What is the Least Common Multiple of 90812 and 90816?

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 90812 and 90816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90812 and 90816, than apply into the LCM equation.

GCF(90812,90816) = 4
LCM(90812,90816) = ( 90812 × 90816) / 4
LCM(90812,90816) = 8247182592 / 4
LCM(90812,90816) = 2061795648

Least Common Multiple (LCM) of 90812 and 90816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90812 and 90816. First we will calculate the prime factors of 90812 and 90816.

Prime Factorization of 90812

Prime Factorization of 90816

Now multiplying the highest exponent prime factors to calculate the LCM of 90812 and 90816.

LCM(90812,90816) = 2⁶ × 73¹ × 311¹ × 3¹ × 11¹ × 43¹
LCM(90812,90816) = 2061795648