What is the Least Common Multiple of 81006 and 81019?

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 81006 and 81019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81006 and 81019, than apply into the LCM equation.

GCF(81006,81019) = 1
LCM(81006,81019) = ( 81006 × 81019) / 1
LCM(81006,81019) = 6563025114 / 1
LCM(81006,81019) = 6563025114

Least Common Multiple (LCM) of 81006 and 81019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81006 and 81019. First we will calculate the prime factors of 81006 and 81019.

Prime Factorization of 81006

Prime Factorization of 81019

Now multiplying the highest exponent prime factors to calculate the LCM of 81006 and 81019.

LCM(81006,81019) = 2¹ × 3¹ × 23¹ × 587¹ × 81019¹
LCM(81006,81019) = 6563025114