What is the Least Common Multiple of 21580 and 21587?

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 21580 and 21587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21580 and 21587, than apply into the LCM equation.

GCF(21580,21587) = 1
LCM(21580,21587) = ( 21580 × 21587) / 1
LCM(21580,21587) = 465847460 / 1
LCM(21580,21587) = 465847460

Least Common Multiple (LCM) of 21580 and 21587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21580 and 21587. First we will calculate the prime factors of 21580 and 21587.

Prime Factorization of 21580

Prime Factorization of 21587

Now multiplying the highest exponent prime factors to calculate the LCM of 21580 and 21587.

LCM(21580,21587) = 2² × 5¹ × 13¹ × 83¹ × 21587¹
LCM(21580,21587) = 465847460