What is the Least Common Multiple of 64519 and 64531?

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 64519 and 64531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64519 and 64531, than apply into the LCM equation.

GCF(64519,64531) = 1
LCM(64519,64531) = ( 64519 × 64531) / 1
LCM(64519,64531) = 4163475589 / 1
LCM(64519,64531) = 4163475589

Least Common Multiple (LCM) of 64519 and 64531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64519 and 64531. First we will calculate the prime factors of 64519 and 64531.

Prime Factorization of 64519

Prime Factorization of 64531

Now multiplying the highest exponent prime factors to calculate the LCM of 64519 and 64531.

LCM(64519,64531) = 7¹ × 13¹ × 709¹ × 47¹ × 1373¹
LCM(64519,64531) = 4163475589