What is the Least Common Multiple of 93720 and 93729?

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 93720 and 93729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93720 and 93729, than apply into the LCM equation.

GCF(93720,93729) = 3
LCM(93720,93729) = ( 93720 × 93729) / 3
LCM(93720,93729) = 8784281880 / 3
LCM(93720,93729) = 2928093960

Least Common Multiple (LCM) of 93720 and 93729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93720 and 93729. First we will calculate the prime factors of 93720 and 93729.

Prime Factorization of 93720

Prime Factorization of 93729

Now multiplying the highest exponent prime factors to calculate the LCM of 93720 and 93729.

LCM(93720,93729) = 2³ × 3¹ × 5¹ × 11¹ × 71¹ × 157¹ × 199¹
LCM(93720,93729) = 2928093960