What is the Least Common Multiple of 93909 and 93918?

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 93918 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 93918, than apply into the LCM equation.

GCF(93909,93918) = 3
LCM(93909,93918) = ( 93909 × 93918) / 3
LCM(93909,93918) = 8819745462 / 3
LCM(93909,93918) = 2939915154

Least Common Multiple (LCM) of 93909 and 93918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93909 and 93918. First we will calculate the prime factors of 93909 and 93918.

Prime Factorization of 93909

Prime Factorization of 93918

Now multiplying the highest exponent prime factors to calculate the LCM of 93909 and 93918.

LCM(93909,93918) = 3¹ × 23¹ × 1361¹ × 2¹ × 11¹ × 1423¹
LCM(93909,93918) = 2939915154