What is the Least Common Multiple of 21056 and 21074?

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 21056 and 21074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21056 and 21074, than apply into the LCM equation.

GCF(21056,21074) = 2
LCM(21056,21074) = ( 21056 × 21074) / 2
LCM(21056,21074) = 443734144 / 2
LCM(21056,21074) = 221867072

Least Common Multiple (LCM) of 21056 and 21074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21056 and 21074. First we will calculate the prime factors of 21056 and 21074.

Prime Factorization of 21056

Prime Factorization of 21074

Now multiplying the highest exponent prime factors to calculate the LCM of 21056 and 21074.

LCM(21056,21074) = 2⁶ × 7¹ × 47¹ × 41¹ × 257¹
LCM(21056,21074) = 221867072