What is the Least Common Multiple of 81365 and 81384?

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 81365 and 81384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81365 and 81384, than apply into the LCM equation.

GCF(81365,81384) = 1
LCM(81365,81384) = ( 81365 × 81384) / 1
LCM(81365,81384) = 6621809160 / 1
LCM(81365,81384) = 6621809160

Least Common Multiple (LCM) of 81365 and 81384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81365 and 81384. First we will calculate the prime factors of 81365 and 81384.

Prime Factorization of 81365

Prime Factorization of 81384

Now multiplying the highest exponent prime factors to calculate the LCM of 81365 and 81384.

LCM(81365,81384) = 5¹ × 16273¹ × 2³ × 3¹ × 3391¹
LCM(81365,81384) = 6621809160