What is the Least Common Multiple of 21452 and 21468?

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 21452 and 21468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21452 and 21468, than apply into the LCM equation.

GCF(21452,21468) = 4
LCM(21452,21468) = ( 21452 × 21468) / 4
LCM(21452,21468) = 460531536 / 4
LCM(21452,21468) = 115132884

Least Common Multiple (LCM) of 21452 and 21468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21452 and 21468. First we will calculate the prime factors of 21452 and 21468.

Prime Factorization of 21452

Prime Factorization of 21468

Now multiplying the highest exponent prime factors to calculate the LCM of 21452 and 21468.

LCM(21452,21468) = 2² × 31¹ × 173¹ × 3¹ × 1789¹
LCM(21452,21468) = 115132884