What is the Least Common Multiple of 31456 and 31476?

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 31456 and 31476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31456 and 31476, than apply into the LCM equation.

GCF(31456,31476) = 4
LCM(31456,31476) = ( 31456 × 31476) / 4
LCM(31456,31476) = 990109056 / 4
LCM(31456,31476) = 247527264

Least Common Multiple (LCM) of 31456 and 31476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31456 and 31476. First we will calculate the prime factors of 31456 and 31476.

Prime Factorization of 31456

Prime Factorization of 31476

Now multiplying the highest exponent prime factors to calculate the LCM of 31456 and 31476.

LCM(31456,31476) = 2⁵ × 983¹ × 3¹ × 43¹ × 61¹
LCM(31456,31476) = 247527264