What is the Least Common Multiple of 43400 and 43414?

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 43414 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 43414, than apply into the LCM equation.

GCF(43400,43414) = 14
LCM(43400,43414) = ( 43400 × 43414) / 14
LCM(43400,43414) = 1884167600 / 14
LCM(43400,43414) = 134583400

Least Common Multiple (LCM) of 43400 and 43414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43400 and 43414. First we will calculate the prime factors of 43400 and 43414.

Prime Factorization of 43400

Prime Factorization of 43414

Now multiplying the highest exponent prime factors to calculate the LCM of 43400 and 43414.

LCM(43400,43414) = 2³ × 5² × 7² × 31¹ × 443¹
LCM(43400,43414) = 134583400