What is the Least Common Multiple of 90096 and 90116?

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 90096 and 90116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90096 and 90116, than apply into the LCM equation.

GCF(90096,90116) = 4
LCM(90096,90116) = ( 90096 × 90116) / 4
LCM(90096,90116) = 8119091136 / 4
LCM(90096,90116) = 2029772784

Least Common Multiple (LCM) of 90096 and 90116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90096 and 90116. First we will calculate the prime factors of 90096 and 90116.

Prime Factorization of 90096

Prime Factorization of 90116

Now multiplying the highest exponent prime factors to calculate the LCM of 90096 and 90116.

LCM(90096,90116) = 2⁴ × 3¹ × 1877¹ × 13¹ × 1733¹
LCM(90096,90116) = 2029772784