What is the Least Common Multiple of 20596 and 20614?

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 20596 and 20614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20596 and 20614, than apply into the LCM equation.

GCF(20596,20614) = 2
LCM(20596,20614) = ( 20596 × 20614) / 2
LCM(20596,20614) = 424565944 / 2
LCM(20596,20614) = 212282972

Least Common Multiple (LCM) of 20596 and 20614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20596 and 20614. First we will calculate the prime factors of 20596 and 20614.

Prime Factorization of 20596

Prime Factorization of 20614

Now multiplying the highest exponent prime factors to calculate the LCM of 20596 and 20614.

LCM(20596,20614) = 2² × 19¹ × 271¹ × 11¹ × 937¹
LCM(20596,20614) = 212282972