What is the Least Common Multiple of 93990 and 93996?

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 93990 and 93996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93990 and 93996, than apply into the LCM equation.

GCF(93990,93996) = 6
LCM(93990,93996) = ( 93990 × 93996) / 6
LCM(93990,93996) = 8834684040 / 6
LCM(93990,93996) = 1472447340

Least Common Multiple (LCM) of 93990 and 93996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93990 and 93996. First we will calculate the prime factors of 93990 and 93996.

Prime Factorization of 93990

Prime Factorization of 93996

Now multiplying the highest exponent prime factors to calculate the LCM of 93990 and 93996.

LCM(93990,93996) = 2² × 3² × 5¹ × 13¹ × 241¹ × 7¹ × 373¹
LCM(93990,93996) = 1472447340