What is the Least Common Multiple of 21042 and 21056?

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 21042 and 21056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21042 and 21056, than apply into the LCM equation.

GCF(21042,21056) = 14
LCM(21042,21056) = ( 21042 × 21056) / 14
LCM(21042,21056) = 443060352 / 14
LCM(21042,21056) = 31647168

Least Common Multiple (LCM) of 21042 and 21056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21042 and 21056. First we will calculate the prime factors of 21042 and 21056.

Prime Factorization of 21042

Prime Factorization of 21056

Now multiplying the highest exponent prime factors to calculate the LCM of 21042 and 21056.

LCM(21042,21056) = 2⁶ × 3² × 7¹ × 167¹ × 47¹
LCM(21042,21056) = 31647168