What is the Least Common Multiple of 20596 and 20612?

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 20612 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 20612, than apply into the LCM equation.

GCF(20596,20612) = 4
LCM(20596,20612) = ( 20596 × 20612) / 4
LCM(20596,20612) = 424524752 / 4
LCM(20596,20612) = 106131188

Least Common Multiple (LCM) of 20596 and 20612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20596 and 20612. First we will calculate the prime factors of 20596 and 20612.

Prime Factorization of 20596

Prime Factorization of 20612

Now multiplying the highest exponent prime factors to calculate the LCM of 20596 and 20612.

LCM(20596,20612) = 2² × 19¹ × 271¹ × 5153¹
LCM(20596,20612) = 106131188