What is the Least Common Multiple of 96598 and 96614?

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 96598 and 96614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96598 and 96614, than apply into the LCM equation.

GCF(96598,96614) = 2
LCM(96598,96614) = ( 96598 × 96614) / 2
LCM(96598,96614) = 9332719172 / 2
LCM(96598,96614) = 4666359586

Least Common Multiple (LCM) of 96598 and 96614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96598 and 96614. First we will calculate the prime factors of 96598 and 96614.

Prime Factorization of 96598

Prime Factorization of 96614

Now multiplying the highest exponent prime factors to calculate the LCM of 96598 and 96614.

LCM(96598,96614) = 2¹ × 48299¹ × 7¹ × 67¹ × 103¹
LCM(96598,96614) = 4666359586