What is the Least Common Multiple of 81666 and 81679?

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 81666 and 81679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81666 and 81679, than apply into the LCM equation.

GCF(81666,81679) = 13
LCM(81666,81679) = ( 81666 × 81679) / 13
LCM(81666,81679) = 6670397214 / 13
LCM(81666,81679) = 513107478

Least Common Multiple (LCM) of 81666 and 81679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81666 and 81679. First we will calculate the prime factors of 81666 and 81679.

Prime Factorization of 81666

Prime Factorization of 81679

Now multiplying the highest exponent prime factors to calculate the LCM of 81666 and 81679.

LCM(81666,81679) = 2¹ × 3² × 13¹ × 349¹ × 61¹ × 103¹
LCM(81666,81679) = 513107478