What is the Least Common Multiple of 43842 and 43848?

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 43842 and 43848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43842 and 43848, than apply into the LCM equation.

GCF(43842,43848) = 6
LCM(43842,43848) = ( 43842 × 43848) / 6
LCM(43842,43848) = 1922384016 / 6
LCM(43842,43848) = 320397336

Least Common Multiple (LCM) of 43842 and 43848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43842 and 43848. First we will calculate the prime factors of 43842 and 43848.

Prime Factorization of 43842

Prime Factorization of 43848

Now multiplying the highest exponent prime factors to calculate the LCM of 43842 and 43848.

LCM(43842,43848) = 2³ × 3³ × 7307¹ × 7¹ × 29¹
LCM(43842,43848) = 320397336