What is the Least Common Multiple of 89505 and 89510?

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 89505 and 89510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89505 and 89510, than apply into the LCM equation.

GCF(89505,89510) = 5
LCM(89505,89510) = ( 89505 × 89510) / 5
LCM(89505,89510) = 8011592550 / 5
LCM(89505,89510) = 1602318510

Least Common Multiple (LCM) of 89505 and 89510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89505 and 89510. First we will calculate the prime factors of 89505 and 89510.

Prime Factorization of 89505

Prime Factorization of 89510

Now multiplying the highest exponent prime factors to calculate the LCM of 89505 and 89510.

LCM(89505,89510) = 3⁴ × 5¹ × 13¹ × 17¹ × 2¹ × 8951¹
LCM(89505,89510) = 1602318510