What is the Least Common Multiple of 89598 and 89614?

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 89598 and 89614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89598 and 89614, than apply into the LCM equation.

GCF(89598,89614) = 2
LCM(89598,89614) = ( 89598 × 89614) / 2
LCM(89598,89614) = 8029235172 / 2
LCM(89598,89614) = 4014617586

Least Common Multiple (LCM) of 89598 and 89614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89598 and 89614. First we will calculate the prime factors of 89598 and 89614.

Prime Factorization of 89598

Prime Factorization of 89614

Now multiplying the highest exponent prime factors to calculate the LCM of 89598 and 89614.

LCM(89598,89614) = 2¹ × 3¹ × 109¹ × 137¹ × 7¹ × 37¹ × 173¹
LCM(89598,89614) = 4014617586