What is the Least Common Multiple of 93399 and 93408?

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 93399 and 93408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93399 and 93408, than apply into the LCM equation.

GCF(93399,93408) = 3
LCM(93399,93408) = ( 93399 × 93408) / 3
LCM(93399,93408) = 8724213792 / 3
LCM(93399,93408) = 2908071264

Least Common Multiple (LCM) of 93399 and 93408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93399 and 93408. First we will calculate the prime factors of 93399 and 93408.

Prime Factorization of 93399

Prime Factorization of 93408

Now multiplying the highest exponent prime factors to calculate the LCM of 93399 and 93408.

LCM(93399,93408) = 3¹ × 163¹ × 191¹ × 2⁵ × 7¹ × 139¹
LCM(93399,93408) = 2908071264