What is the Least Common Multiple of 90513 and 90521?

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 90521 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 90521, than apply into the LCM equation.

GCF(90513,90521) = 1
LCM(90513,90521) = ( 90513 × 90521) / 1
LCM(90513,90521) = 8193327273 / 1
LCM(90513,90521) = 8193327273

Least Common Multiple (LCM) of 90513 and 90521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90513 and 90521. First we will calculate the prime factors of 90513 and 90521.

Prime Factorization of 90513

Prime Factorization of 90521

Now multiplying the highest exponent prime factors to calculate the LCM of 90513 and 90521.

LCM(90513,90521) = 3² × 89¹ × 113¹ × 131¹ × 691¹
LCM(90513,90521) = 8193327273