What is the Least Common Multiple of 81812 and 81827?

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 81812 and 81827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81812 and 81827, than apply into the LCM equation.

GCF(81812,81827) = 1
LCM(81812,81827) = ( 81812 × 81827) / 1
LCM(81812,81827) = 6694430524 / 1
LCM(81812,81827) = 6694430524

Least Common Multiple (LCM) of 81812 and 81827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81812 and 81827. First we will calculate the prime factors of 81812 and 81827.

Prime Factorization of 81812

Prime Factorization of 81827

Now multiplying the highest exponent prime factors to calculate the LCM of 81812 and 81827.

LCM(81812,81827) = 2² × 113¹ × 181¹ × 47¹ × 1741¹
LCM(81812,81827) = 6694430524