What is the Least Common Multiple of 83606 and 83619?

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 83606 and 83619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83606 and 83619, than apply into the LCM equation.

GCF(83606,83619) = 1
LCM(83606,83619) = ( 83606 × 83619) / 1
LCM(83606,83619) = 6991050114 / 1
LCM(83606,83619) = 6991050114

Least Common Multiple (LCM) of 83606 and 83619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83606 and 83619. First we will calculate the prime factors of 83606 and 83619.

Prime Factorization of 83606

Prime Factorization of 83619

Now multiplying the highest exponent prime factors to calculate the LCM of 83606 and 83619.

LCM(83606,83619) = 2¹ × 17¹ × 2459¹ × 3³ × 19¹ × 163¹
LCM(83606,83619) = 6991050114