What is the Least Common Multiple of 81836 and 81854?

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 81836 and 81854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81836 and 81854, than apply into the LCM equation.

GCF(81836,81854) = 2
LCM(81836,81854) = ( 81836 × 81854) / 2
LCM(81836,81854) = 6698603944 / 2
LCM(81836,81854) = 3349301972

Least Common Multiple (LCM) of 81836 and 81854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81836 and 81854. First we will calculate the prime factors of 81836 and 81854.

Prime Factorization of 81836

Prime Factorization of 81854

Now multiplying the highest exponent prime factors to calculate the LCM of 81836 and 81854.

LCM(81836,81854) = 2² × 41¹ × 499¹ × 40927¹
LCM(81836,81854) = 3349301972