What is the Least Common Multiple of 83885 and 83905?

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 83885 and 83905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83885 and 83905, than apply into the LCM equation.

GCF(83885,83905) = 5
LCM(83885,83905) = ( 83885 × 83905) / 5
LCM(83885,83905) = 7038370925 / 5
LCM(83885,83905) = 1407674185

Least Common Multiple (LCM) of 83885 and 83905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83885 and 83905. First we will calculate the prime factors of 83885 and 83905.

Prime Factorization of 83885

Prime Factorization of 83905

Now multiplying the highest exponent prime factors to calculate the LCM of 83885 and 83905.

LCM(83885,83905) = 5¹ × 19¹ × 883¹ × 97¹ × 173¹
LCM(83885,83905) = 1407674185