What is the Least Common Multiple of 12475 and 12490?

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 12475 and 12490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12475 and 12490, than apply into the LCM equation.

GCF(12475,12490) = 5
LCM(12475,12490) = ( 12475 × 12490) / 5
LCM(12475,12490) = 155812750 / 5
LCM(12475,12490) = 31162550

Least Common Multiple (LCM) of 12475 and 12490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12475 and 12490. First we will calculate the prime factors of 12475 and 12490.

Prime Factorization of 12475

Prime Factorization of 12490

Now multiplying the highest exponent prime factors to calculate the LCM of 12475 and 12490.

LCM(12475,12490) = 5² × 499¹ × 2¹ × 1249¹
LCM(12475,12490) = 31162550