What is the Least Common Multiple of 71577 and 71584?

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 71577 and 71584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71577 and 71584, than apply into the LCM equation.

GCF(71577,71584) = 1
LCM(71577,71584) = ( 71577 × 71584) / 1
LCM(71577,71584) = 5123767968 / 1
LCM(71577,71584) = 5123767968

Least Common Multiple (LCM) of 71577 and 71584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71577 and 71584. First we will calculate the prime factors of 71577 and 71584.

Prime Factorization of 71577

Prime Factorization of 71584

Now multiplying the highest exponent prime factors to calculate the LCM of 71577 and 71584.

LCM(71577,71584) = 3³ × 11¹ × 241¹ × 2⁵ × 2237¹
LCM(71577,71584) = 5123767968