What is the Least Common Multiple of 71019 and 71037?

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 71019 and 71037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71019 and 71037, than apply into the LCM equation.

GCF(71019,71037) = 9
LCM(71019,71037) = ( 71019 × 71037) / 9
LCM(71019,71037) = 5044976703 / 9
LCM(71019,71037) = 560552967

Least Common Multiple (LCM) of 71019 and 71037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71019 and 71037. First we will calculate the prime factors of 71019 and 71037.

Prime Factorization of 71019

Prime Factorization of 71037

Now multiplying the highest exponent prime factors to calculate the LCM of 71019 and 71037.

LCM(71019,71037) = 3⁴ × 13¹ × 607¹ × 877¹
LCM(71019,71037) = 560552967