What is the Least Common Multiple of 90513 and 90523?

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 90513 and 90523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90513 and 90523, than apply into the LCM equation.

GCF(90513,90523) = 1
LCM(90513,90523) = ( 90513 × 90523) / 1
LCM(90513,90523) = 8193508299 / 1
LCM(90513,90523) = 8193508299

Least Common Multiple (LCM) of 90513 and 90523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90513 and 90523. First we will calculate the prime factors of 90513 and 90523.

Prime Factorization of 90513

Prime Factorization of 90523

Now multiplying the highest exponent prime factors to calculate the LCM of 90513 and 90523.

LCM(90513,90523) = 3² × 89¹ × 113¹ × 90523¹
LCM(90513,90523) = 8193508299