What is the Least Common Multiple of 43400 and 43408?

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 43408 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 43408, than apply into the LCM equation.

GCF(43400,43408) = 8
LCM(43400,43408) = ( 43400 × 43408) / 8
LCM(43400,43408) = 1883907200 / 8
LCM(43400,43408) = 235488400

Least Common Multiple (LCM) of 43400 and 43408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43400 and 43408. First we will calculate the prime factors of 43400 and 43408.

Prime Factorization of 43400

Prime Factorization of 43408

Now multiplying the highest exponent prime factors to calculate the LCM of 43400 and 43408.

LCM(43400,43408) = 2⁴ × 5² × 7¹ × 31¹ × 2713¹
LCM(43400,43408) = 235488400