What is the Least Common Multiple of 14596 and 14613?

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 14613 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 14613, than apply into the LCM equation.

GCF(14596,14613) = 1
LCM(14596,14613) = ( 14596 × 14613) / 1
LCM(14596,14613) = 213291348 / 1
LCM(14596,14613) = 213291348

Least Common Multiple (LCM) of 14596 and 14613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14596 and 14613. First we will calculate the prime factors of 14596 and 14613.

Prime Factorization of 14596

Prime Factorization of 14613

Now multiplying the highest exponent prime factors to calculate the LCM of 14596 and 14613.

LCM(14596,14613) = 2² × 41¹ × 89¹ × 3¹ × 4871¹
LCM(14596,14613) = 213291348