What is the Least Common Multiple of 81412 and 81430?

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 81412 and 81430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81412 and 81430, than apply into the LCM equation.

GCF(81412,81430) = 2
LCM(81412,81430) = ( 81412 × 81430) / 2
LCM(81412,81430) = 6629379160 / 2
LCM(81412,81430) = 3314689580

Least Common Multiple (LCM) of 81412 and 81430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81412 and 81430. First we will calculate the prime factors of 81412 and 81430.

Prime Factorization of 81412

Prime Factorization of 81430

Now multiplying the highest exponent prime factors to calculate the LCM of 81412 and 81430.

LCM(81412,81430) = 2² × 20353¹ × 5¹ × 17¹ × 479¹
LCM(81412,81430) = 3314689580