What is the Least Common Multiple of 21452 and 21472?

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 21472 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 21472, than apply into the LCM equation.

GCF(21452,21472) = 4
LCM(21452,21472) = ( 21452 × 21472) / 4
LCM(21452,21472) = 460617344 / 4
LCM(21452,21472) = 115154336

Least Common Multiple (LCM) of 21452 and 21472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21452 and 21472. First we will calculate the prime factors of 21452 and 21472.

Prime Factorization of 21452

Prime Factorization of 21472

Now multiplying the highest exponent prime factors to calculate the LCM of 21452 and 21472.

LCM(21452,21472) = 2⁵ × 31¹ × 173¹ × 11¹ × 61¹
LCM(21452,21472) = 115154336