What is the Least Common Multiple of 59376 and 59384?

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 59384 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 59384, than apply into the LCM equation.

GCF(59376,59384) = 8
LCM(59376,59384) = ( 59376 × 59384) / 8
LCM(59376,59384) = 3525984384 / 8
LCM(59376,59384) = 440748048

Least Common Multiple (LCM) of 59376 and 59384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59376 and 59384. First we will calculate the prime factors of 59376 and 59384.

Prime Factorization of 59376

Prime Factorization of 59384

Now multiplying the highest exponent prime factors to calculate the LCM of 59376 and 59384.

LCM(59376,59384) = 2⁴ × 3¹ × 1237¹ × 13¹ × 571¹
LCM(59376,59384) = 440748048