What is the Least Common Multiple of 31239 and 31256?

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 31239 and 31256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31239 and 31256, than apply into the LCM equation.

GCF(31239,31256) = 1
LCM(31239,31256) = ( 31239 × 31256) / 1
LCM(31239,31256) = 976406184 / 1
LCM(31239,31256) = 976406184

Least Common Multiple (LCM) of 31239 and 31256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31239 and 31256. First we will calculate the prime factors of 31239 and 31256.

Prime Factorization of 31239

Prime Factorization of 31256

Now multiplying the highest exponent prime factors to calculate the LCM of 31239 and 31256.

LCM(31239,31256) = 3³ × 13¹ × 89¹ × 2³ × 3907¹
LCM(31239,31256) = 976406184