What is the Least Common Multiple of 90509 and 90529?

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 90529 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 90529, than apply into the LCM equation.

GCF(90509,90529) = 1
LCM(90509,90529) = ( 90509 × 90529) / 1
LCM(90509,90529) = 8193689261 / 1
LCM(90509,90529) = 8193689261

Least Common Multiple (LCM) of 90509 and 90529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90509 and 90529. First we will calculate the prime factors of 90509 and 90529.

Prime Factorization of 90509

Prime Factorization of 90529

Now multiplying the highest exponent prime factors to calculate the LCM of 90509 and 90529.

LCM(90509,90529) = 29¹ × 3121¹ × 90529¹
LCM(90509,90529) = 8193689261