What is the Least Common Multiple of 90514 and 90530?

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 90514 and 90530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90514 and 90530, than apply into the LCM equation.

GCF(90514,90530) = 2
LCM(90514,90530) = ( 90514 × 90530) / 2
LCM(90514,90530) = 8194232420 / 2
LCM(90514,90530) = 4097116210

Least Common Multiple (LCM) of 90514 and 90530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90514 and 90530. First we will calculate the prime factors of 90514 and 90530.

Prime Factorization of 90514

Prime Factorization of 90530

Now multiplying the highest exponent prime factors to calculate the LCM of 90514 and 90530.

LCM(90514,90530) = 2¹ × 167¹ × 271¹ × 5¹ × 11¹ × 823¹
LCM(90514,90530) = 4097116210