What is the Least Common Multiple of 21468 and 21488?

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 21468 and 21488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21468 and 21488, than apply into the LCM equation.

GCF(21468,21488) = 4
LCM(21468,21488) = ( 21468 × 21488) / 4
LCM(21468,21488) = 461304384 / 4
LCM(21468,21488) = 115326096

Least Common Multiple (LCM) of 21468 and 21488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21468 and 21488. First we will calculate the prime factors of 21468 and 21488.

Prime Factorization of 21468

Prime Factorization of 21488

Now multiplying the highest exponent prime factors to calculate the LCM of 21468 and 21488.

LCM(21468,21488) = 2⁴ × 3¹ × 1789¹ × 17¹ × 79¹
LCM(21468,21488) = 115326096