What is the Least Common Multiple of 27580 and 27586?

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 27580 and 27586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27580 and 27586, than apply into the LCM equation.

GCF(27580,27586) = 2
LCM(27580,27586) = ( 27580 × 27586) / 2
LCM(27580,27586) = 760821880 / 2
LCM(27580,27586) = 380410940

Least Common Multiple (LCM) of 27580 and 27586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27580 and 27586. First we will calculate the prime factors of 27580 and 27586.

Prime Factorization of 27580

Prime Factorization of 27586

Now multiplying the highest exponent prime factors to calculate the LCM of 27580 and 27586.

LCM(27580,27586) = 2² × 5¹ × 7¹ × 197¹ × 13¹ × 1061¹
LCM(27580,27586) = 380410940