What is the Least Common Multiple of 21634 and 21643?

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 21634 and 21643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21634 and 21643, than apply into the LCM equation.

GCF(21634,21643) = 1
LCM(21634,21643) = ( 21634 × 21643) / 1
LCM(21634,21643) = 468224662 / 1
LCM(21634,21643) = 468224662

Least Common Multiple (LCM) of 21634 and 21643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21634 and 21643. First we will calculate the prime factors of 21634 and 21643.

Prime Factorization of 21634

Prime Factorization of 21643

Now multiplying the highest exponent prime factors to calculate the LCM of 21634 and 21643.

LCM(21634,21643) = 2¹ × 29¹ × 373¹ × 23¹ × 941¹
LCM(21634,21643) = 468224662