What is the Least Common Multiple of 81460 and 81466?

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 81460 and 81466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81460 and 81466, than apply into the LCM equation.

GCF(81460,81466) = 2
LCM(81460,81466) = ( 81460 × 81466) / 2
LCM(81460,81466) = 6636220360 / 2
LCM(81460,81466) = 3318110180

Least Common Multiple (LCM) of 81460 and 81466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81460 and 81466. First we will calculate the prime factors of 81460 and 81466.

Prime Factorization of 81460

Prime Factorization of 81466

Now multiplying the highest exponent prime factors to calculate the LCM of 81460 and 81466.

LCM(81460,81466) = 2² × 5¹ × 4073¹ × 7¹ × 11¹ × 23²
LCM(81460,81466) = 3318110180