What is the Least Common Multiple of 53584 and 53590?

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 53584 and 53590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53584 and 53590, than apply into the LCM equation.

GCF(53584,53590) = 2
LCM(53584,53590) = ( 53584 × 53590) / 2
LCM(53584,53590) = 2871566560 / 2
LCM(53584,53590) = 1435783280

Least Common Multiple (LCM) of 53584 and 53590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53584 and 53590. First we will calculate the prime factors of 53584 and 53590.

Prime Factorization of 53584

Prime Factorization of 53590

Now multiplying the highest exponent prime factors to calculate the LCM of 53584 and 53590.

LCM(53584,53590) = 2⁴ × 17¹ × 197¹ × 5¹ × 23¹ × 233¹
LCM(53584,53590) = 1435783280