What is the Least Common Multiple of 71584 and 71590?

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 71584 and 71590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71584 and 71590, than apply into the LCM equation.

GCF(71584,71590) = 2
LCM(71584,71590) = ( 71584 × 71590) / 2
LCM(71584,71590) = 5124698560 / 2
LCM(71584,71590) = 2562349280

Least Common Multiple (LCM) of 71584 and 71590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71584 and 71590. First we will calculate the prime factors of 71584 and 71590.

Prime Factorization of 71584

Prime Factorization of 71590

Now multiplying the highest exponent prime factors to calculate the LCM of 71584 and 71590.

LCM(71584,71590) = 2⁵ × 2237¹ × 5¹ × 7159¹
LCM(71584,71590) = 2562349280