What is the Least Common Multiple of 81418 and 81436?

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 81418 and 81436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81418 and 81436, than apply into the LCM equation.

GCF(81418,81436) = 2
LCM(81418,81436) = ( 81418 × 81436) / 2
LCM(81418,81436) = 6630356248 / 2
LCM(81418,81436) = 3315178124

Least Common Multiple (LCM) of 81418 and 81436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81418 and 81436. First we will calculate the prime factors of 81418 and 81436.

Prime Factorization of 81418

Prime Factorization of 81436

Now multiplying the highest exponent prime factors to calculate the LCM of 81418 and 81436.

LCM(81418,81436) = 2² × 40709¹ × 20359¹
LCM(81418,81436) = 3315178124