What is the Least Common Multiple of 31554 and 31573?

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 31573 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 31573, than apply into the LCM equation.

GCF(31554,31573) = 1
LCM(31554,31573) = ( 31554 × 31573) / 1
LCM(31554,31573) = 996254442 / 1
LCM(31554,31573) = 996254442

Least Common Multiple (LCM) of 31554 and 31573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31554 and 31573. First we will calculate the prime factors of 31554 and 31573.

Prime Factorization of 31554

Prime Factorization of 31573

Now multiplying the highest exponent prime factors to calculate the LCM of 31554 and 31573.

LCM(31554,31573) = 2¹ × 3² × 1753¹ × 31573¹
LCM(31554,31573) = 996254442