What is the Least Common Multiple of 71067 and 71082?

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 71067 and 71082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71067 and 71082, than apply into the LCM equation.

GCF(71067,71082) = 3
LCM(71067,71082) = ( 71067 × 71082) / 3
LCM(71067,71082) = 5051584494 / 3
LCM(71067,71082) = 1683861498

Least Common Multiple (LCM) of 71067 and 71082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71067 and 71082. First we will calculate the prime factors of 71067 and 71082.

Prime Factorization of 71067

Prime Factorization of 71082

Now multiplying the highest exponent prime factors to calculate the LCM of 71067 and 71082.

LCM(71067,71082) = 3² × 23689¹ × 2¹ × 11¹ × 359¹
LCM(71067,71082) = 1683861498