What is the Least Common Multiple of 81772 and 81786?

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 81772 and 81786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81772 and 81786, than apply into the LCM equation.

GCF(81772,81786) = 2
LCM(81772,81786) = ( 81772 × 81786) / 2
LCM(81772,81786) = 6687804792 / 2
LCM(81772,81786) = 3343902396

Least Common Multiple (LCM) of 81772 and 81786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81772 and 81786. First we will calculate the prime factors of 81772 and 81786.

Prime Factorization of 81772

Prime Factorization of 81786

Now multiplying the highest exponent prime factors to calculate the LCM of 81772 and 81786.

LCM(81772,81786) = 2² × 20443¹ × 3¹ × 43¹ × 317¹
LCM(81772,81786) = 3343902396