What is the Least Common Multiple of 93042 and 93046?

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 93046 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 93046, than apply into the LCM equation.

GCF(93042,93046) = 2
LCM(93042,93046) = ( 93042 × 93046) / 2
LCM(93042,93046) = 8657185932 / 2
LCM(93042,93046) = 4328592966

Least Common Multiple (LCM) of 93042 and 93046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93042 and 93046. First we will calculate the prime factors of 93042 and 93046.

Prime Factorization of 93042

Prime Factorization of 93046

Now multiplying the highest exponent prime factors to calculate the LCM of 93042 and 93046.

LCM(93042,93046) = 2¹ × 3³ × 1723¹ × 46523¹
LCM(93042,93046) = 4328592966