What is the Least Common Multiple of 90530 and 90535?

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 90530 and 90535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90530 and 90535, than apply into the LCM equation.

GCF(90530,90535) = 5
LCM(90530,90535) = ( 90530 × 90535) / 5
LCM(90530,90535) = 8196133550 / 5
LCM(90530,90535) = 1639226710

Least Common Multiple (LCM) of 90530 and 90535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90530 and 90535. First we will calculate the prime factors of 90530 and 90535.

Prime Factorization of 90530

Prime Factorization of 90535

Now multiplying the highest exponent prime factors to calculate the LCM of 90530 and 90535.

LCM(90530,90535) = 2¹ × 5¹ × 11¹ × 823¹ × 19¹ × 953¹
LCM(90530,90535) = 1639226710