What is the Least Common Multiple of 21624 and 21630?

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 21624 and 21630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21624 and 21630, than apply into the LCM equation.

GCF(21624,21630) = 6
LCM(21624,21630) = ( 21624 × 21630) / 6
LCM(21624,21630) = 467727120 / 6
LCM(21624,21630) = 77954520

Least Common Multiple (LCM) of 21624 and 21630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21624 and 21630. First we will calculate the prime factors of 21624 and 21630.

Prime Factorization of 21624

Prime Factorization of 21630

Now multiplying the highest exponent prime factors to calculate the LCM of 21624 and 21630.

LCM(21624,21630) = 2³ × 3¹ × 17¹ × 53¹ × 5¹ × 7¹ × 103¹
LCM(21624,21630) = 77954520