What is the Least Common Multiple of 31536 and 31546?

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 31536 and 31546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31536 and 31546, than apply into the LCM equation.

GCF(31536,31546) = 2
LCM(31536,31546) = ( 31536 × 31546) / 2
LCM(31536,31546) = 994834656 / 2
LCM(31536,31546) = 497417328

Least Common Multiple (LCM) of 31536 and 31546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31536 and 31546. First we will calculate the prime factors of 31536 and 31546.

Prime Factorization of 31536

Prime Factorization of 31546

Now multiplying the highest exponent prime factors to calculate the LCM of 31536 and 31546.

LCM(31536,31546) = 2⁴ × 3³ × 73¹ × 15773¹
LCM(31536,31546) = 497417328