What is the Least Common Multiple of 56019 and 56037?

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 56019 and 56037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56019 and 56037, than apply into the LCM equation.

GCF(56019,56037) = 3
LCM(56019,56037) = ( 56019 × 56037) / 3
LCM(56019,56037) = 3139136703 / 3
LCM(56019,56037) = 1046378901

Least Common Multiple (LCM) of 56019 and 56037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56019 and 56037. First we will calculate the prime factors of 56019 and 56037.

Prime Factorization of 56019

Prime Factorization of 56037

Now multiplying the highest exponent prime factors to calculate the LCM of 56019 and 56037.

LCM(56019,56037) = 3¹ × 71¹ × 263¹ × 18679¹
LCM(56019,56037) = 1046378901