What is the Least Common Multiple of 68019 and 68031?

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 68019 and 68031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68019 and 68031, than apply into the LCM equation.

GCF(68019,68031) = 3
LCM(68019,68031) = ( 68019 × 68031) / 3
LCM(68019,68031) = 4627400589 / 3
LCM(68019,68031) = 1542466863

Least Common Multiple (LCM) of 68019 and 68031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68019 and 68031. First we will calculate the prime factors of 68019 and 68031.

Prime Factorization of 68019

Prime Factorization of 68031

Now multiplying the highest exponent prime factors to calculate the LCM of 68019 and 68031.

LCM(68019,68031) = 3² × 7¹ × 41¹ × 79¹ × 7559¹
LCM(68019,68031) = 1542466863