What is the Least Common Multiple of 20559 and 20566?

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 20559 and 20566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20559 and 20566, than apply into the LCM equation.

GCF(20559,20566) = 7
LCM(20559,20566) = ( 20559 × 20566) / 7
LCM(20559,20566) = 422816394 / 7
LCM(20559,20566) = 60402342

Least Common Multiple (LCM) of 20559 and 20566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20559 and 20566. First we will calculate the prime factors of 20559 and 20566.

Prime Factorization of 20559

Prime Factorization of 20566

Now multiplying the highest exponent prime factors to calculate the LCM of 20559 and 20566.

LCM(20559,20566) = 3¹ × 7¹ × 11¹ × 89¹ × 2¹ × 13¹ × 113¹
LCM(20559,20566) = 60402342