What is the Least Common Multiple of 90509 and 90513?

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 90509 and 90513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90509 and 90513, than apply into the LCM equation.

GCF(90509,90513) = 1
LCM(90509,90513) = ( 90509 × 90513) / 1
LCM(90509,90513) = 8192241117 / 1
LCM(90509,90513) = 8192241117

Least Common Multiple (LCM) of 90509 and 90513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90509 and 90513. First we will calculate the prime factors of 90509 and 90513.

Prime Factorization of 90509

Prime Factorization of 90513

Now multiplying the highest exponent prime factors to calculate the LCM of 90509 and 90513.

LCM(90509,90513) = 29¹ × 3121¹ × 3² × 89¹ × 113¹
LCM(90509,90513) = 8192241117