What is the Least Common Multiple of 90096 and 90114?

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 90114 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 90114, than apply into the LCM equation.

GCF(90096,90114) = 6
LCM(90096,90114) = ( 90096 × 90114) / 6
LCM(90096,90114) = 8118910944 / 6
LCM(90096,90114) = 1353151824

Least Common Multiple (LCM) of 90096 and 90114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90096 and 90114. First we will calculate the prime factors of 90096 and 90114.

Prime Factorization of 90096

Prime Factorization of 90114

Now multiplying the highest exponent prime factors to calculate the LCM of 90096 and 90114.

LCM(90096,90114) = 2⁴ × 3¹ × 1877¹ × 23¹ × 653¹
LCM(90096,90114) = 1353151824