What is the Least Common Multiple of 21606 and 21624?

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 21606 and 21624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21606 and 21624, than apply into the LCM equation.

GCF(21606,21624) = 6
LCM(21606,21624) = ( 21606 × 21624) / 6
LCM(21606,21624) = 467208144 / 6
LCM(21606,21624) = 77868024

Least Common Multiple (LCM) of 21606 and 21624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21606 and 21624. First we will calculate the prime factors of 21606 and 21624.

Prime Factorization of 21606

Prime Factorization of 21624

Now multiplying the highest exponent prime factors to calculate the LCM of 21606 and 21624.

LCM(21606,21624) = 2³ × 3¹ × 13¹ × 277¹ × 17¹ × 53¹
LCM(21606,21624) = 77868024