What is the Least Common Multiple of 96596 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 96596 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 96596 and 96614, than apply into the LCM equation.

GCF(96596,96614) = 2
LCM(96596,96614) = ( 96596 × 96614) / 2
LCM(96596,96614) = 9332525944 / 2
LCM(96596,96614) = 4666262972

Least Common Multiple (LCM) of 96596 and 96614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96596 and 96614. First we will calculate the prime factors of 96596 and 96614.

Prime Factorization of 96596

Prime Factorization of 96614

Now multiplying the highest exponent prime factors to calculate the LCM of 96596 and 96614.

LCM(96596,96614) = 2² × 19¹ × 31¹ × 41¹ × 7¹ × 67¹ × 103¹
LCM(96596,96614) = 4666262972