What is the Least Common Multiple of 36519 and 36531?

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 36519 and 36531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36519 and 36531, than apply into the LCM equation.

GCF(36519,36531) = 3
LCM(36519,36531) = ( 36519 × 36531) / 3
LCM(36519,36531) = 1334075589 / 3
LCM(36519,36531) = 444691863

Least Common Multiple (LCM) of 36519 and 36531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36519 and 36531. First we will calculate the prime factors of 36519 and 36531.

Prime Factorization of 36519

Prime Factorization of 36531

Now multiplying the highest exponent prime factors to calculate the LCM of 36519 and 36531.

LCM(36519,36531) = 3⁴ × 7¹ × 37¹ × 47¹ × 11¹ × 41¹
LCM(36519,36531) = 444691863