What is the Least Common Multiple of 71019 and 71035?

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 71035 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 71035, than apply into the LCM equation.

GCF(71019,71035) = 1
LCM(71019,71035) = ( 71019 × 71035) / 1
LCM(71019,71035) = 5044834665 / 1
LCM(71019,71035) = 5044834665

Least Common Multiple (LCM) of 71019 and 71035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71019 and 71035. First we will calculate the prime factors of 71019 and 71035.

Prime Factorization of 71019

Prime Factorization of 71035

Now multiplying the highest exponent prime factors to calculate the LCM of 71019 and 71035.

LCM(71019,71035) = 3² × 13¹ × 607¹ × 5¹ × 14207¹
LCM(71019,71035) = 5044834665