What is the Least Common Multiple of 31556 and 31564?

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 31556 and 31564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31556 and 31564, than apply into the LCM equation.

GCF(31556,31564) = 4
LCM(31556,31564) = ( 31556 × 31564) / 4
LCM(31556,31564) = 996033584 / 4
LCM(31556,31564) = 249008396

Least Common Multiple (LCM) of 31556 and 31564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31556 and 31564. First we will calculate the prime factors of 31556 and 31564.

Prime Factorization of 31556

Prime Factorization of 31564

Now multiplying the highest exponent prime factors to calculate the LCM of 31556 and 31564.

LCM(31556,31564) = 2² × 7³ × 23¹ × 13¹ × 607¹
LCM(31556,31564) = 249008396