What is the Least Common Multiple of 31476 and 31488?

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 31476 and 31488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31476 and 31488, than apply into the LCM equation.

GCF(31476,31488) = 12
LCM(31476,31488) = ( 31476 × 31488) / 12
LCM(31476,31488) = 991116288 / 12
LCM(31476,31488) = 82593024

Least Common Multiple (LCM) of 31476 and 31488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31476 and 31488. First we will calculate the prime factors of 31476 and 31488.

Prime Factorization of 31476

Prime Factorization of 31488

Now multiplying the highest exponent prime factors to calculate the LCM of 31476 and 31488.

LCM(31476,31488) = 2⁸ × 3¹ × 43¹ × 61¹ × 41¹
LCM(31476,31488) = 82593024