What is the Least Common Multiple of 43825 and 43842?

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 43825 and 43842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43825 and 43842, than apply into the LCM equation.

GCF(43825,43842) = 1
LCM(43825,43842) = ( 43825 × 43842) / 1
LCM(43825,43842) = 1921375650 / 1
LCM(43825,43842) = 1921375650

Least Common Multiple (LCM) of 43825 and 43842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43825 and 43842. First we will calculate the prime factors of 43825 and 43842.

Prime Factorization of 43825

Prime Factorization of 43842

Now multiplying the highest exponent prime factors to calculate the LCM of 43825 and 43842.

LCM(43825,43842) = 5² × 1753¹ × 2¹ × 3¹ × 7307¹
LCM(43825,43842) = 1921375650