What is the Least Common Multiple of 75514 and 75531?

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 75514 and 75531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75514 and 75531, than apply into the LCM equation.

GCF(75514,75531) = 17
LCM(75514,75531) = ( 75514 × 75531) / 17
LCM(75514,75531) = 5703647934 / 17
LCM(75514,75531) = 335508702

Least Common Multiple (LCM) of 75514 and 75531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75514 and 75531. First we will calculate the prime factors of 75514 and 75531.

Prime Factorization of 75514

Prime Factorization of 75531

Now multiplying the highest exponent prime factors to calculate the LCM of 75514 and 75531.

LCM(75514,75531) = 2¹ × 17¹ × 2221¹ × 3¹ × 1481¹
LCM(75514,75531) = 335508702