What is the Least Common Multiple of 75584 and 75590?

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 75584 and 75590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75584 and 75590, than apply into the LCM equation.

GCF(75584,75590) = 2
LCM(75584,75590) = ( 75584 × 75590) / 2
LCM(75584,75590) = 5713394560 / 2
LCM(75584,75590) = 2856697280

Least Common Multiple (LCM) of 75584 and 75590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75584 and 75590. First we will calculate the prime factors of 75584 and 75590.

Prime Factorization of 75584

Prime Factorization of 75590

Now multiplying the highest exponent prime factors to calculate the LCM of 75584 and 75590.

LCM(75584,75590) = 2⁶ × 1181¹ × 5¹ × 7559¹
LCM(75584,75590) = 2856697280