What is the Least Common Multiple of 90810 and 90815?

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 90810 and 90815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90810 and 90815, than apply into the LCM equation.

GCF(90810,90815) = 5
LCM(90810,90815) = ( 90810 × 90815) / 5
LCM(90810,90815) = 8246910150 / 5
LCM(90810,90815) = 1649382030

Least Common Multiple (LCM) of 90810 and 90815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90810 and 90815. First we will calculate the prime factors of 90810 and 90815.

Prime Factorization of 90810

Prime Factorization of 90815

Now multiplying the highest exponent prime factors to calculate the LCM of 90810 and 90815.

LCM(90810,90815) = 2¹ × 3² × 5¹ × 1009¹ × 41¹ × 443¹
LCM(90810,90815) = 1649382030