What is the Least Common Multiple of 93414 and 93429?

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 93414 and 93429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93414 and 93429, than apply into the LCM equation.

GCF(93414,93429) = 3
LCM(93414,93429) = ( 93414 × 93429) / 3
LCM(93414,93429) = 8727576606 / 3
LCM(93414,93429) = 2909192202

Least Common Multiple (LCM) of 93414 and 93429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93414 and 93429. First we will calculate the prime factors of 93414 and 93429.

Prime Factorization of 93414

Prime Factorization of 93429

Now multiplying the highest exponent prime factors to calculate the LCM of 93414 and 93429.

LCM(93414,93429) = 2¹ × 3² × 15569¹ × 7¹ × 1483¹
LCM(93414,93429) = 2909192202