What is the Least Common Multiple of 21544 and 21562?

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 21544 and 21562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21544 and 21562, than apply into the LCM equation.

GCF(21544,21562) = 2
LCM(21544,21562) = ( 21544 × 21562) / 2
LCM(21544,21562) = 464531728 / 2
LCM(21544,21562) = 232265864

Least Common Multiple (LCM) of 21544 and 21562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21544 and 21562. First we will calculate the prime factors of 21544 and 21562.

Prime Factorization of 21544

Prime Factorization of 21562

Now multiplying the highest exponent prime factors to calculate the LCM of 21544 and 21562.

LCM(21544,21562) = 2³ × 2693¹ × 10781¹
LCM(21544,21562) = 232265864