What is the Least Common Multiple of 31554 and 31568?

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 31554 and 31568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31554 and 31568, than apply into the LCM equation.

GCF(31554,31568) = 2
LCM(31554,31568) = ( 31554 × 31568) / 2
LCM(31554,31568) = 996096672 / 2
LCM(31554,31568) = 498048336

Least Common Multiple (LCM) of 31554 and 31568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31554 and 31568. First we will calculate the prime factors of 31554 and 31568.

Prime Factorization of 31554

Prime Factorization of 31568

Now multiplying the highest exponent prime factors to calculate the LCM of 31554 and 31568.

LCM(31554,31568) = 2⁴ × 3² × 1753¹ × 1973¹
LCM(31554,31568) = 498048336