What is the Least Common Multiple of 20654 and 20658?

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 20654 and 20658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20654 and 20658, than apply into the LCM equation.

GCF(20654,20658) = 2
LCM(20654,20658) = ( 20654 × 20658) / 2
LCM(20654,20658) = 426670332 / 2
LCM(20654,20658) = 213335166

Least Common Multiple (LCM) of 20654 and 20658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20654 and 20658. First we will calculate the prime factors of 20654 and 20658.

Prime Factorization of 20654

Prime Factorization of 20658

Now multiplying the highest exponent prime factors to calculate the LCM of 20654 and 20658.

LCM(20654,20658) = 2¹ × 23¹ × 449¹ × 3¹ × 11¹ × 313¹
LCM(20654,20658) = 213335166