What is the Least Common Multiple of 21654 and 21663?

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 21654 and 21663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21654 and 21663, than apply into the LCM equation.

GCF(21654,21663) = 9
LCM(21654,21663) = ( 21654 × 21663) / 9
LCM(21654,21663) = 469090602 / 9
LCM(21654,21663) = 52121178

Least Common Multiple (LCM) of 21654 and 21663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21654 and 21663. First we will calculate the prime factors of 21654 and 21663.

Prime Factorization of 21654

Prime Factorization of 21663

Now multiplying the highest exponent prime factors to calculate the LCM of 21654 and 21663.

LCM(21654,21663) = 2¹ × 3³ × 401¹ × 29¹ × 83¹
LCM(21654,21663) = 52121178