What is the Least Common Multiple of 21605 and 21621?

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 21621 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 21621, than apply into the LCM equation.

GCF(21605,21621) = 1
LCM(21605,21621) = ( 21605 × 21621) / 1
LCM(21605,21621) = 467121705 / 1
LCM(21605,21621) = 467121705

Least Common Multiple (LCM) of 21605 and 21621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21605 and 21621. First we will calculate the prime factors of 21605 and 21621.

Prime Factorization of 21605

Prime Factorization of 21621

Now multiplying the highest exponent prime factors to calculate the LCM of 21605 and 21621.

LCM(21605,21621) = 5¹ × 29¹ × 149¹ × 3¹ × 7207¹
LCM(21605,21621) = 467121705