What is the Least Common Multiple of 14596 and 14614?

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 14596 and 14614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14596 and 14614, than apply into the LCM equation.

GCF(14596,14614) = 2
LCM(14596,14614) = ( 14596 × 14614) / 2
LCM(14596,14614) = 213305944 / 2
LCM(14596,14614) = 106652972

Least Common Multiple (LCM) of 14596 and 14614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14596 and 14614. First we will calculate the prime factors of 14596 and 14614.

Prime Factorization of 14596

Prime Factorization of 14614

Now multiplying the highest exponent prime factors to calculate the LCM of 14596 and 14614.

LCM(14596,14614) = 2² × 41¹ × 89¹ × 7307¹
LCM(14596,14614) = 106652972