What is the Least Common Multiple of 89505 and 89514?

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 89514 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 89514, than apply into the LCM equation.

GCF(89505,89514) = 9
LCM(89505,89514) = ( 89505 × 89514) / 9
LCM(89505,89514) = 8011950570 / 9
LCM(89505,89514) = 890216730

Least Common Multiple (LCM) of 89505 and 89514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89505 and 89514. First we will calculate the prime factors of 89505 and 89514.

Prime Factorization of 89505

Prime Factorization of 89514

Now multiplying the highest exponent prime factors to calculate the LCM of 89505 and 89514.

LCM(89505,89514) = 3⁴ × 5¹ × 13¹ × 17¹ × 2¹ × 4973¹
LCM(89505,89514) = 890216730