What is the Least Common Multiple of 90096 and 90112?

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 90112 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 90112, than apply into the LCM equation.

GCF(90096,90112) = 16
LCM(90096,90112) = ( 90096 × 90112) / 16
LCM(90096,90112) = 8118730752 / 16
LCM(90096,90112) = 507420672

Least Common Multiple (LCM) of 90096 and 90112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90096 and 90112. First we will calculate the prime factors of 90096 and 90112.

Prime Factorization of 90096

Prime Factorization of 90112

Now multiplying the highest exponent prime factors to calculate the LCM of 90096 and 90112.

LCM(90096,90112) = 2¹³ × 3¹ × 1877¹ × 11¹
LCM(90096,90112) = 507420672