What is the Least Common Multiple of 21432 and 21442?

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 21432 and 21442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21432 and 21442, than apply into the LCM equation.

GCF(21432,21442) = 2
LCM(21432,21442) = ( 21432 × 21442) / 2
LCM(21432,21442) = 459544944 / 2
LCM(21432,21442) = 229772472

Least Common Multiple (LCM) of 21432 and 21442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21432 and 21442. First we will calculate the prime factors of 21432 and 21442.

Prime Factorization of 21432

Prime Factorization of 21442

Now multiplying the highest exponent prime factors to calculate the LCM of 21432 and 21442.

LCM(21432,21442) = 2³ × 3¹ × 19¹ × 47¹ × 71¹ × 151¹
LCM(21432,21442) = 229772472