What is the Least Common Multiple of 31538 and 31556?

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 31538 and 31556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31538 and 31556, than apply into the LCM equation.

GCF(31538,31556) = 2
LCM(31538,31556) = ( 31538 × 31556) / 2
LCM(31538,31556) = 995213128 / 2
LCM(31538,31556) = 497606564

Least Common Multiple (LCM) of 31538 and 31556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31538 and 31556. First we will calculate the prime factors of 31538 and 31556.

Prime Factorization of 31538

Prime Factorization of 31556

Now multiplying the highest exponent prime factors to calculate the LCM of 31538 and 31556.

LCM(31538,31556) = 2² × 13¹ × 1213¹ × 7³ × 23¹
LCM(31538,31556) = 497606564