What is the Least Common Multiple of 81324 and 81330?

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 81324 and 81330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81324 and 81330, than apply into the LCM equation.

GCF(81324,81330) = 6
LCM(81324,81330) = ( 81324 × 81330) / 6
LCM(81324,81330) = 6614080920 / 6
LCM(81324,81330) = 1102346820

Least Common Multiple (LCM) of 81324 and 81330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81324 and 81330. First we will calculate the prime factors of 81324 and 81330.

Prime Factorization of 81324

Prime Factorization of 81330

Now multiplying the highest exponent prime factors to calculate the LCM of 81324 and 81330.

LCM(81324,81330) = 2² × 3⁴ × 251¹ × 5¹ × 2711¹
LCM(81324,81330) = 1102346820