What is the Least Common Multiple of 93342 and 93354?

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 93342 and 93354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93342 and 93354, than apply into the LCM equation.

GCF(93342,93354) = 6
LCM(93342,93354) = ( 93342 × 93354) / 6
LCM(93342,93354) = 8713849068 / 6
LCM(93342,93354) = 1452308178

Least Common Multiple (LCM) of 93342 and 93354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93342 and 93354. First we will calculate the prime factors of 93342 and 93354.

Prime Factorization of 93342

Prime Factorization of 93354

Now multiplying the highest exponent prime factors to calculate the LCM of 93342 and 93354.

LCM(93342,93354) = 2¹ × 3¹ × 47¹ × 331¹ × 15559¹
LCM(93342,93354) = 1452308178