What is the Least Common Multiple of 21522 and 21538?

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 21522 and 21538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21522 and 21538, than apply into the LCM equation.

GCF(21522,21538) = 2
LCM(21522,21538) = ( 21522 × 21538) / 2
LCM(21522,21538) = 463540836 / 2
LCM(21522,21538) = 231770418

Least Common Multiple (LCM) of 21522 and 21538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21522 and 21538. First we will calculate the prime factors of 21522 and 21538.

Prime Factorization of 21522

Prime Factorization of 21538

Now multiplying the highest exponent prime factors to calculate the LCM of 21522 and 21538.

LCM(21522,21538) = 2¹ × 3¹ × 17¹ × 211¹ × 11² × 89¹
LCM(21522,21538) = 231770418