What is the Least Common Multiple of 12450 and 12459?

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 12450 and 12459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12450 and 12459, than apply into the LCM equation.

GCF(12450,12459) = 3
LCM(12450,12459) = ( 12450 × 12459) / 3
LCM(12450,12459) = 155114550 / 3
LCM(12450,12459) = 51704850

Least Common Multiple (LCM) of 12450 and 12459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12450 and 12459. First we will calculate the prime factors of 12450 and 12459.

Prime Factorization of 12450

Prime Factorization of 12459

Now multiplying the highest exponent prime factors to calculate the LCM of 12450 and 12459.

LCM(12450,12459) = 2¹ × 3¹ × 5² × 83¹ × 4153¹
LCM(12450,12459) = 51704850