What is the Least Common Multiple of 93420 and 93435?

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 93420 and 93435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93420 and 93435, than apply into the LCM equation.

GCF(93420,93435) = 15
LCM(93420,93435) = ( 93420 × 93435) / 15
LCM(93420,93435) = 8728697700 / 15
LCM(93420,93435) = 581913180

Least Common Multiple (LCM) of 93420 and 93435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93420 and 93435. First we will calculate the prime factors of 93420 and 93435.

Prime Factorization of 93420

Prime Factorization of 93435

Now multiplying the highest exponent prime factors to calculate the LCM of 93420 and 93435.

LCM(93420,93435) = 2² × 3³ × 5¹ × 173¹ × 6229¹
LCM(93420,93435) = 581913180