What is the Least Common Multiple of 43428 and 43438?

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 43428 and 43438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43428 and 43438, than apply into the LCM equation.

GCF(43428,43438) = 2
LCM(43428,43438) = ( 43428 × 43438) / 2
LCM(43428,43438) = 1886425464 / 2
LCM(43428,43438) = 943212732

Least Common Multiple (LCM) of 43428 and 43438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43428 and 43438. First we will calculate the prime factors of 43428 and 43438.

Prime Factorization of 43428

Prime Factorization of 43438

Now multiplying the highest exponent prime factors to calculate the LCM of 43428 and 43438.

LCM(43428,43438) = 2² × 3¹ × 7¹ × 11¹ × 47¹ × 37¹ × 587¹
LCM(43428,43438) = 943212732