What is the Least Common Multiple of 93192 and 93201?

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 93192 and 93201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93192 and 93201, than apply into the LCM equation.

GCF(93192,93201) = 3
LCM(93192,93201) = ( 93192 × 93201) / 3
LCM(93192,93201) = 8685587592 / 3
LCM(93192,93201) = 2895195864

Least Common Multiple (LCM) of 93192 and 93201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93192 and 93201. First we will calculate the prime factors of 93192 and 93201.

Prime Factorization of 93192

Prime Factorization of 93201

Now multiplying the highest exponent prime factors to calculate the LCM of 93192 and 93201.

LCM(93192,93201) = 2³ × 3¹ × 11¹ × 353¹ × 47¹ × 661¹
LCM(93192,93201) = 2895195864