What is the Least Common Multiple of 81966 and 81986?

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 81966 and 81986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81966 and 81986, than apply into the LCM equation.

GCF(81966,81986) = 2
LCM(81966,81986) = ( 81966 × 81986) / 2
LCM(81966,81986) = 6720064476 / 2
LCM(81966,81986) = 3360032238

Least Common Multiple (LCM) of 81966 and 81986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81966 and 81986. First we will calculate the prime factors of 81966 and 81986.

Prime Factorization of 81966

Prime Factorization of 81986

Now multiplying the highest exponent prime factors to calculate the LCM of 81966 and 81986.

LCM(81966,81986) = 2¹ × 3¹ × 19¹ × 719¹ × 40993¹
LCM(81966,81986) = 3360032238