What is the Least Common Multiple of 99012 and 99032?

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 99012 and 99032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99012 and 99032, than apply into the LCM equation.

GCF(99012,99032) = 4
LCM(99012,99032) = ( 99012 × 99032) / 4
LCM(99012,99032) = 9805356384 / 4
LCM(99012,99032) = 2451339096

Least Common Multiple (LCM) of 99012 and 99032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99012 and 99032. First we will calculate the prime factors of 99012 and 99032.

Prime Factorization of 99012

Prime Factorization of 99032

Now multiplying the highest exponent prime factors to calculate the LCM of 99012 and 99032.

LCM(99012,99032) = 2³ × 3¹ × 37¹ × 223¹ × 12379¹
LCM(99012,99032) = 2451339096