What is the Least Common Multiple of 21514 and 21530?

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 21514 and 21530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21514 and 21530, than apply into the LCM equation.

GCF(21514,21530) = 2
LCM(21514,21530) = ( 21514 × 21530) / 2
LCM(21514,21530) = 463196420 / 2
LCM(21514,21530) = 231598210

Least Common Multiple (LCM) of 21514 and 21530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21514 and 21530. First we will calculate the prime factors of 21514 and 21530.

Prime Factorization of 21514

Prime Factorization of 21530

Now multiplying the highest exponent prime factors to calculate the LCM of 21514 and 21530.

LCM(21514,21530) = 2¹ × 31¹ × 347¹ × 5¹ × 2153¹
LCM(21514,21530) = 231598210