What is the Least Common Multiple of 81476 and 81493?

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 81476 and 81493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81476 and 81493, than apply into the LCM equation.

GCF(81476,81493) = 1
LCM(81476,81493) = ( 81476 × 81493) / 1
LCM(81476,81493) = 6639723668 / 1
LCM(81476,81493) = 6639723668

Least Common Multiple (LCM) of 81476 and 81493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81476 and 81493. First we will calculate the prime factors of 81476 and 81493.

Prime Factorization of 81476

Prime Factorization of 81493

Now multiplying the highest exponent prime factors to calculate the LCM of 81476 and 81493.

LCM(81476,81493) = 2² × 20369¹ × 227¹ × 359¹
LCM(81476,81493) = 6639723668