What is the Least Common Multiple of 21605 and 21616?

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 21605 and 21616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21605 and 21616, than apply into the LCM equation.

GCF(21605,21616) = 1
LCM(21605,21616) = ( 21605 × 21616) / 1
LCM(21605,21616) = 467013680 / 1
LCM(21605,21616) = 467013680

Least Common Multiple (LCM) of 21605 and 21616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21605 and 21616. First we will calculate the prime factors of 21605 and 21616.

Prime Factorization of 21605

Prime Factorization of 21616

Now multiplying the highest exponent prime factors to calculate the LCM of 21605 and 21616.

LCM(21605,21616) = 5¹ × 29¹ × 149¹ × 2⁴ × 7¹ × 193¹
LCM(21605,21616) = 467013680