What is the Least Common Multiple of 12400 and 12407?

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 12400 and 12407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12400 and 12407, than apply into the LCM equation.

GCF(12400,12407) = 1
LCM(12400,12407) = ( 12400 × 12407) / 1
LCM(12400,12407) = 153846800 / 1
LCM(12400,12407) = 153846800

Least Common Multiple (LCM) of 12400 and 12407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12400 and 12407. First we will calculate the prime factors of 12400 and 12407.

Prime Factorization of 12400

Prime Factorization of 12407

Now multiplying the highest exponent prime factors to calculate the LCM of 12400 and 12407.

LCM(12400,12407) = 2⁴ × 5² × 31¹ × 19¹ × 653¹
LCM(12400,12407) = 153846800