What is the Least Common Multiple of 31494 and 31509?

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 31494 and 31509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31494 and 31509, than apply into the LCM equation.

GCF(31494,31509) = 3
LCM(31494,31509) = ( 31494 × 31509) / 3
LCM(31494,31509) = 992344446 / 3
LCM(31494,31509) = 330781482

Least Common Multiple (LCM) of 31494 and 31509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31494 and 31509. First we will calculate the prime factors of 31494 and 31509.

Prime Factorization of 31494

Prime Factorization of 31509

Now multiplying the highest exponent prime factors to calculate the LCM of 31494 and 31509.

LCM(31494,31509) = 2¹ × 3⁴ × 29¹ × 181¹ × 389¹
LCM(31494,31509) = 330781482