What is the Least Common Multiple of 61504 and 61517?

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 61504 and 61517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61504 and 61517, than apply into the LCM equation.

GCF(61504,61517) = 1
LCM(61504,61517) = ( 61504 × 61517) / 1
LCM(61504,61517) = 3783541568 / 1
LCM(61504,61517) = 3783541568

Least Common Multiple (LCM) of 61504 and 61517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61504 and 61517. First we will calculate the prime factors of 61504 and 61517.

Prime Factorization of 61504

Prime Factorization of 61517

Now multiplying the highest exponent prime factors to calculate the LCM of 61504 and 61517.

LCM(61504,61517) = 2⁶ × 31² × 227¹ × 271¹
LCM(61504,61517) = 3783541568