What is the Least Common Multiple of 12850 and 12870?

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 12850 and 12870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12850 and 12870, than apply into the LCM equation.

GCF(12850,12870) = 10
LCM(12850,12870) = ( 12850 × 12870) / 10
LCM(12850,12870) = 165379500 / 10
LCM(12850,12870) = 16537950

Least Common Multiple (LCM) of 12850 and 12870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12850 and 12870. First we will calculate the prime factors of 12850 and 12870.

Prime Factorization of 12850

Prime Factorization of 12870

Now multiplying the highest exponent prime factors to calculate the LCM of 12850 and 12870.

LCM(12850,12870) = 2¹ × 5² × 257¹ × 3² × 11¹ × 13¹
LCM(12850,12870) = 16537950