What is the Least Common Multiple of 12474 and 12489?

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 12474 and 12489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12474 and 12489, than apply into the LCM equation.

GCF(12474,12489) = 3
LCM(12474,12489) = ( 12474 × 12489) / 3
LCM(12474,12489) = 155787786 / 3
LCM(12474,12489) = 51929262

Least Common Multiple (LCM) of 12474 and 12489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12474 and 12489. First we will calculate the prime factors of 12474 and 12489.

Prime Factorization of 12474

Prime Factorization of 12489

Now multiplying the highest exponent prime factors to calculate the LCM of 12474 and 12489.

LCM(12474,12489) = 2¹ × 3⁴ × 7¹ × 11¹ × 23¹ × 181¹
LCM(12474,12489) = 51929262