What is the Least Common Multiple of 71806 and 71822?

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 71806 and 71822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71806 and 71822, than apply into the LCM equation.

GCF(71806,71822) = 2
LCM(71806,71822) = ( 71806 × 71822) / 2
LCM(71806,71822) = 5157250532 / 2
LCM(71806,71822) = 2578625266

Least Common Multiple (LCM) of 71806 and 71822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71806 and 71822. First we will calculate the prime factors of 71806 and 71822.

Prime Factorization of 71806

Prime Factorization of 71822

Now multiplying the highest exponent prime factors to calculate the LCM of 71806 and 71822.

LCM(71806,71822) = 2¹ × 7¹ × 23¹ × 223¹ × 35911¹
LCM(71806,71822) = 2578625266