What is the Least Common Multiple of 96042 and 96048?

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 96042 and 96048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96042 and 96048, than apply into the LCM equation.

GCF(96042,96048) = 6
LCM(96042,96048) = ( 96042 × 96048) / 6
LCM(96042,96048) = 9224642016 / 6
LCM(96042,96048) = 1537440336

Least Common Multiple (LCM) of 96042 and 96048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96042 and 96048. First we will calculate the prime factors of 96042 and 96048.

Prime Factorization of 96042

Prime Factorization of 96048

Now multiplying the highest exponent prime factors to calculate the LCM of 96042 and 96048.

LCM(96042,96048) = 2⁴ × 3² × 16007¹ × 23¹ × 29¹
LCM(96042,96048) = 1537440336