What is the Least Common Multiple of 59358 and 59376?

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 59358 and 59376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59358 and 59376, than apply into the LCM equation.

GCF(59358,59376) = 6
LCM(59358,59376) = ( 59358 × 59376) / 6
LCM(59358,59376) = 3524440608 / 6
LCM(59358,59376) = 587406768

Least Common Multiple (LCM) of 59358 and 59376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59358 and 59376. First we will calculate the prime factors of 59358 and 59376.

Prime Factorization of 59358

Prime Factorization of 59376

Now multiplying the highest exponent prime factors to calculate the LCM of 59358 and 59376.

LCM(59358,59376) = 2⁴ × 3¹ × 13¹ × 761¹ × 1237¹
LCM(59358,59376) = 587406768