What is the Least Common Multiple of 27582 and 27590?

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 27582 and 27590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27582 and 27590, than apply into the LCM equation.

GCF(27582,27590) = 2
LCM(27582,27590) = ( 27582 × 27590) / 2
LCM(27582,27590) = 760987380 / 2
LCM(27582,27590) = 380493690

Least Common Multiple (LCM) of 27582 and 27590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27582 and 27590. First we will calculate the prime factors of 27582 and 27590.

Prime Factorization of 27582

Prime Factorization of 27590

Now multiplying the highest exponent prime factors to calculate the LCM of 27582 and 27590.

LCM(27582,27590) = 2¹ × 3¹ × 4597¹ × 5¹ × 31¹ × 89¹
LCM(27582,27590) = 380493690