What is the Least Common Multiple of 90519 and 90531?

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 90519 and 90531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90519 and 90531, than apply into the LCM equation.

GCF(90519,90531) = 3
LCM(90519,90531) = ( 90519 × 90531) / 3
LCM(90519,90531) = 8194775589 / 3
LCM(90519,90531) = 2731591863

Least Common Multiple (LCM) of 90519 and 90531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90519 and 90531. First we will calculate the prime factors of 90519 and 90531.

Prime Factorization of 90519

Prime Factorization of 90531

Now multiplying the highest exponent prime factors to calculate the LCM of 90519 and 90531.

LCM(90519,90531) = 3³ × 11¹ × 13¹ × 211¹ × 7¹ × 479¹
LCM(90519,90531) = 2731591863