What is the Least Common Multiple of 7582 and 7590?

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 7582 and 7590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7582 and 7590, than apply into the LCM equation.

GCF(7582,7590) = 2
LCM(7582,7590) = ( 7582 × 7590) / 2
LCM(7582,7590) = 57547380 / 2
LCM(7582,7590) = 28773690

Least Common Multiple (LCM) of 7582 and 7590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7582 and 7590. First we will calculate the prime factors of 7582 and 7590.

Prime Factorization of 7582

Prime Factorization of 7590

Now multiplying the highest exponent prime factors to calculate the LCM of 7582 and 7590.

LCM(7582,7590) = 2¹ × 17¹ × 223¹ × 3¹ × 5¹ × 11¹ × 23¹
LCM(7582,7590) = 28773690