What is the Least Common Multiple of 81309 and 81324?

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 81309 and 81324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81309 and 81324, than apply into the LCM equation.

GCF(81309,81324) = 3
LCM(81309,81324) = ( 81309 × 81324) / 3
LCM(81309,81324) = 6612373116 / 3
LCM(81309,81324) = 2204124372

Least Common Multiple (LCM) of 81309 and 81324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81309 and 81324. First we will calculate the prime factors of 81309 and 81324.

Prime Factorization of 81309

Prime Factorization of 81324

Now multiplying the highest exponent prime factors to calculate the LCM of 81309 and 81324.

LCM(81309,81324) = 3⁴ × 27103¹ × 2² × 251¹
LCM(81309,81324) = 2204124372