What is the Least Common Multiple of 93042 and 93048?

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 93042 and 93048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93042 and 93048, than apply into the LCM equation.

GCF(93042,93048) = 6
LCM(93042,93048) = ( 93042 × 93048) / 6
LCM(93042,93048) = 8657372016 / 6
LCM(93042,93048) = 1442895336

Least Common Multiple (LCM) of 93042 and 93048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93042 and 93048. First we will calculate the prime factors of 93042 and 93048.

Prime Factorization of 93042

Prime Factorization of 93048

Now multiplying the highest exponent prime factors to calculate the LCM of 93042 and 93048.

LCM(93042,93048) = 2³ × 3³ × 1723¹ × 3877¹
LCM(93042,93048) = 1442895336