What is the Least Common Multiple of 90894 and 90904?

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 90894 and 90904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90894 and 90904, than apply into the LCM equation.

GCF(90894,90904) = 2
LCM(90894,90904) = ( 90894 × 90904) / 2
LCM(90894,90904) = 8262628176 / 2
LCM(90894,90904) = 4131314088

Least Common Multiple (LCM) of 90894 and 90904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90894 and 90904. First we will calculate the prime factors of 90894 and 90904.

Prime Factorization of 90894

Prime Factorization of 90904

Now multiplying the highest exponent prime factors to calculate the LCM of 90894 and 90904.

LCM(90894,90904) = 2³ × 3¹ × 15149¹ × 11¹ × 1033¹
LCM(90894,90904) = 4131314088