What is the Least Common Multiple of 90914 and 90928?

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 90914 and 90928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90914 and 90928, than apply into the LCM equation.

GCF(90914,90928) = 2
LCM(90914,90928) = ( 90914 × 90928) / 2
LCM(90914,90928) = 8266628192 / 2
LCM(90914,90928) = 4133314096

Least Common Multiple (LCM) of 90914 and 90928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90914 and 90928. First we will calculate the prime factors of 90914 and 90928.

Prime Factorization of 90914

Prime Factorization of 90928

Now multiplying the highest exponent prime factors to calculate the LCM of 90914 and 90928.

LCM(90914,90928) = 2⁴ × 131¹ × 347¹ × 5683¹
LCM(90914,90928) = 4133314096