What is the Least Common Multiple of 81580 and 81587?

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 81587 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 81587, than apply into the LCM equation.

GCF(81580,81587) = 1
LCM(81580,81587) = ( 81580 × 81587) / 1
LCM(81580,81587) = 6655867460 / 1
LCM(81580,81587) = 6655867460

Least Common Multiple (LCM) of 81580 and 81587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81580 and 81587. First we will calculate the prime factors of 81580 and 81587.

Prime Factorization of 81580

Prime Factorization of 81587

Now multiplying the highest exponent prime factors to calculate the LCM of 81580 and 81587.

LCM(81580,81587) = 2² × 5¹ × 4079¹ × 11¹ × 7417¹
LCM(81580,81587) = 6655867460