What is the Least Common Multiple of 59376 and 59385?

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 59376 and 59385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59376 and 59385, than apply into the LCM equation.

GCF(59376,59385) = 3
LCM(59376,59385) = ( 59376 × 59385) / 3
LCM(59376,59385) = 3526043760 / 3
LCM(59376,59385) = 1175347920

Least Common Multiple (LCM) of 59376 and 59385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59376 and 59385. First we will calculate the prime factors of 59376 and 59385.

Prime Factorization of 59376

Prime Factorization of 59385

Now multiplying the highest exponent prime factors to calculate the LCM of 59376 and 59385.

LCM(59376,59385) = 2⁴ × 3¹ × 1237¹ × 5¹ × 37¹ × 107¹
LCM(59376,59385) = 1175347920