What is the Least Common Multiple of 81384 and 81393?

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 81393 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 81393, than apply into the LCM equation.

GCF(81384,81393) = 3
LCM(81384,81393) = ( 81384 × 81393) / 3
LCM(81384,81393) = 6624087912 / 3
LCM(81384,81393) = 2208029304

Least Common Multiple (LCM) of 81384 and 81393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81384 and 81393. First we will calculate the prime factors of 81384 and 81393.

Prime Factorization of 81384

Prime Factorization of 81393

Now multiplying the highest exponent prime factors to calculate the LCM of 81384 and 81393.

LCM(81384,81393) = 2³ × 3¹ × 3391¹ × 13¹ × 2087¹
LCM(81384,81393) = 2208029304