What is the Least Common Multiple of 90504 and 90524?

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 90504 and 90524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90504 and 90524, than apply into the LCM equation.

GCF(90504,90524) = 4
LCM(90504,90524) = ( 90504 × 90524) / 4
LCM(90504,90524) = 8192784096 / 4
LCM(90504,90524) = 2048196024

Least Common Multiple (LCM) of 90504 and 90524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90504 and 90524. First we will calculate the prime factors of 90504 and 90524.

Prime Factorization of 90504

Prime Factorization of 90524

Now multiplying the highest exponent prime factors to calculate the LCM of 90504 and 90524.

LCM(90504,90524) = 2³ × 3³ × 419¹ × 7¹ × 53¹ × 61¹
LCM(90504,90524) = 2048196024