What is the Least Common Multiple of 21104 and 21122?

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 21104 and 21122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21104 and 21122, than apply into the LCM equation.

GCF(21104,21122) = 2
LCM(21104,21122) = ( 21104 × 21122) / 2
LCM(21104,21122) = 445758688 / 2
LCM(21104,21122) = 222879344

Least Common Multiple (LCM) of 21104 and 21122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21104 and 21122. First we will calculate the prime factors of 21104 and 21122.

Prime Factorization of 21104

Prime Factorization of 21122

Now multiplying the highest exponent prime factors to calculate the LCM of 21104 and 21122.

LCM(21104,21122) = 2⁴ × 1319¹ × 59¹ × 179¹
LCM(21104,21122) = 222879344