What is the Least Common Multiple of 21616 and 21634?

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 21616 and 21634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21616 and 21634, than apply into the LCM equation.

GCF(21616,21634) = 2
LCM(21616,21634) = ( 21616 × 21634) / 2
LCM(21616,21634) = 467640544 / 2
LCM(21616,21634) = 233820272

Least Common Multiple (LCM) of 21616 and 21634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21616 and 21634. First we will calculate the prime factors of 21616 and 21634.

Prime Factorization of 21616

Prime Factorization of 21634

Now multiplying the highest exponent prime factors to calculate the LCM of 21616 and 21634.

LCM(21616,21634) = 2⁴ × 7¹ × 193¹ × 29¹ × 373¹
LCM(21616,21634) = 233820272