What is the Least Common Multiple of 81494 and 81504?

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 81494 and 81504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81494 and 81504, than apply into the LCM equation.

GCF(81494,81504) = 2
LCM(81494,81504) = ( 81494 × 81504) / 2
LCM(81494,81504) = 6642086976 / 2
LCM(81494,81504) = 3321043488

Least Common Multiple (LCM) of 81494 and 81504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81494 and 81504. First we will calculate the prime factors of 81494 and 81504.

Prime Factorization of 81494

Prime Factorization of 81504

Now multiplying the highest exponent prime factors to calculate the LCM of 81494 and 81504.

LCM(81494,81504) = 2⁵ × 7¹ × 5821¹ × 3² × 283¹
LCM(81494,81504) = 3321043488