What is the Least Common Multiple of 21192 and 21200?

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 21192 and 21200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21192 and 21200, than apply into the LCM equation.

GCF(21192,21200) = 8
LCM(21192,21200) = ( 21192 × 21200) / 8
LCM(21192,21200) = 449270400 / 8
LCM(21192,21200) = 56158800

Least Common Multiple (LCM) of 21192 and 21200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21192 and 21200. First we will calculate the prime factors of 21192 and 21200.

Prime Factorization of 21192

Prime Factorization of 21200

Now multiplying the highest exponent prime factors to calculate the LCM of 21192 and 21200.

LCM(21192,21200) = 2⁴ × 3¹ × 883¹ × 5² × 53¹
LCM(21192,21200) = 56158800