What is the Least Common Multiple of 81074 and 81081?

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 81074 and 81081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81074 and 81081, than apply into the LCM equation.

GCF(81074,81081) = 7
LCM(81074,81081) = ( 81074 × 81081) / 7
LCM(81074,81081) = 6573560994 / 7
LCM(81074,81081) = 939080142

Least Common Multiple (LCM) of 81074 and 81081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81074 and 81081. First we will calculate the prime factors of 81074 and 81081.

Prime Factorization of 81074

Prime Factorization of 81081

Now multiplying the highest exponent prime factors to calculate the LCM of 81074 and 81081.

LCM(81074,81081) = 2¹ × 7¹ × 5791¹ × 3⁴ × 11¹ × 13¹
LCM(81074,81081) = 939080142