What is the Least Common Multiple of 93729 and 93744?

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 93729 and 93744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93729 and 93744, than apply into the LCM equation.

GCF(93729,93744) = 3
LCM(93729,93744) = ( 93729 × 93744) / 3
LCM(93729,93744) = 8786531376 / 3
LCM(93729,93744) = 2928843792

Least Common Multiple (LCM) of 93729 and 93744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93729 and 93744. First we will calculate the prime factors of 93729 and 93744.

Prime Factorization of 93729

Prime Factorization of 93744

Now multiplying the highest exponent prime factors to calculate the LCM of 93729 and 93744.

LCM(93729,93744) = 3³ × 157¹ × 199¹ × 2⁴ × 7¹ × 31¹
LCM(93729,93744) = 2928843792