What is the Least Common Multiple of 90529 and 90537?

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 90529 and 90537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90529 and 90537, than apply into the LCM equation.

GCF(90529,90537) = 1
LCM(90529,90537) = ( 90529 × 90537) / 1
LCM(90529,90537) = 8196224073 / 1
LCM(90529,90537) = 8196224073

Least Common Multiple (LCM) of 90529 and 90537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90529 and 90537. First we will calculate the prime factors of 90529 and 90537.

Prime Factorization of 90529

Prime Factorization of 90537

Now multiplying the highest exponent prime factors to calculate the LCM of 90529 and 90537.

LCM(90529,90537) = 90529¹ × 3¹ × 103¹ × 293¹
LCM(90529,90537) = 8196224073