What is the Least Common Multiple of 81580 and 81594?

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 81580 and 81594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81580 and 81594, than apply into the LCM equation.

GCF(81580,81594) = 2
LCM(81580,81594) = ( 81580 × 81594) / 2
LCM(81580,81594) = 6656438520 / 2
LCM(81580,81594) = 3328219260

Least Common Multiple (LCM) of 81580 and 81594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81580 and 81594. First we will calculate the prime factors of 81580 and 81594.

Prime Factorization of 81580

Prime Factorization of 81594

Now multiplying the highest exponent prime factors to calculate the LCM of 81580 and 81594.

LCM(81580,81594) = 2² × 5¹ × 4079¹ × 3³ × 1511¹
LCM(81580,81594) = 3328219260