What is the Least Common Multiple of 93909 and 93924?

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 93909 and 93924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93909 and 93924, than apply into the LCM equation.

GCF(93909,93924) = 3
LCM(93909,93924) = ( 93909 × 93924) / 3
LCM(93909,93924) = 8820308916 / 3
LCM(93909,93924) = 2940102972

Least Common Multiple (LCM) of 93909 and 93924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93909 and 93924. First we will calculate the prime factors of 93909 and 93924.

Prime Factorization of 93909

Prime Factorization of 93924

Now multiplying the highest exponent prime factors to calculate the LCM of 93909 and 93924.

LCM(93909,93924) = 3² × 23¹ × 1361¹ × 2² × 2609¹
LCM(93909,93924) = 2940102972