What is the Least Common Multiple of 71466 and 71482?

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 71466 and 71482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71466 and 71482, than apply into the LCM equation.

GCF(71466,71482) = 2
LCM(71466,71482) = ( 71466 × 71482) / 2
LCM(71466,71482) = 5108532612 / 2
LCM(71466,71482) = 2554266306

Least Common Multiple (LCM) of 71466 and 71482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71466 and 71482. First we will calculate the prime factors of 71466 and 71482.

Prime Factorization of 71466

Prime Factorization of 71482

Now multiplying the highest exponent prime factors to calculate the LCM of 71466 and 71482.

LCM(71466,71482) = 2¹ × 3¹ × 43¹ × 277¹ × 103¹ × 347¹
LCM(71466,71482) = 2554266306