What is the Least Common Multiple of 67019 and 67031?

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 67019 and 67031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67019 and 67031, than apply into the LCM equation.

GCF(67019,67031) = 1
LCM(67019,67031) = ( 67019 × 67031) / 1
LCM(67019,67031) = 4492350589 / 1
LCM(67019,67031) = 4492350589

Least Common Multiple (LCM) of 67019 and 67031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67019 and 67031. First we will calculate the prime factors of 67019 and 67031.

Prime Factorization of 67019

Prime Factorization of 67031

Now multiplying the highest exponent prime factors to calculate the LCM of 67019 and 67031.

LCM(67019,67031) = 29¹ × 2311¹ × 17¹ × 3943¹
LCM(67019,67031) = 4492350589