What is the Least Common Multiple of 43400 and 43407?

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 43400 and 43407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43400 and 43407, than apply into the LCM equation.

GCF(43400,43407) = 7
LCM(43400,43407) = ( 43400 × 43407) / 7
LCM(43400,43407) = 1883863800 / 7
LCM(43400,43407) = 269123400

Least Common Multiple (LCM) of 43400 and 43407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43400 and 43407. First we will calculate the prime factors of 43400 and 43407.

Prime Factorization of 43400

Prime Factorization of 43407

Now multiplying the highest exponent prime factors to calculate the LCM of 43400 and 43407.

LCM(43400,43407) = 2³ × 5² × 7¹ × 31¹ × 3² × 13¹ × 53¹
LCM(43400,43407) = 269123400