What is the Least Common Multiple of 81384 and 81404?

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 81384 and 81404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81384 and 81404, than apply into the LCM equation.

GCF(81384,81404) = 4
LCM(81384,81404) = ( 81384 × 81404) / 4
LCM(81384,81404) = 6624983136 / 4
LCM(81384,81404) = 1656245784

Least Common Multiple (LCM) of 81384 and 81404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81384 and 81404. First we will calculate the prime factors of 81384 and 81404.

Prime Factorization of 81384

Prime Factorization of 81404

Now multiplying the highest exponent prime factors to calculate the LCM of 81384 and 81404.

LCM(81384,81404) = 2³ × 3¹ × 3391¹ × 47¹ × 433¹
LCM(81384,81404) = 1656245784