What is the Least Common Multiple of 81060 and 81067?

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 81060 and 81067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81060 and 81067, than apply into the LCM equation.

GCF(81060,81067) = 7
LCM(81060,81067) = ( 81060 × 81067) / 7
LCM(81060,81067) = 6571291020 / 7
LCM(81060,81067) = 938755860

Least Common Multiple (LCM) of 81060 and 81067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81060 and 81067. First we will calculate the prime factors of 81060 and 81067.

Prime Factorization of 81060

Prime Factorization of 81067

Now multiplying the highest exponent prime factors to calculate the LCM of 81060 and 81067.

LCM(81060,81067) = 2² × 3¹ × 5¹ × 7¹ × 193¹ × 37¹ × 313¹
LCM(81060,81067) = 938755860