What is the Least Common Multiple of 21304 and 21315?

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 21304 and 21315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21304 and 21315, than apply into the LCM equation.

GCF(21304,21315) = 1
LCM(21304,21315) = ( 21304 × 21315) / 1
LCM(21304,21315) = 454094760 / 1
LCM(21304,21315) = 454094760

Least Common Multiple (LCM) of 21304 and 21315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21304 and 21315. First we will calculate the prime factors of 21304 and 21315.

Prime Factorization of 21304

Prime Factorization of 21315

Now multiplying the highest exponent prime factors to calculate the LCM of 21304 and 21315.

LCM(21304,21315) = 2³ × 2663¹ × 3¹ × 5¹ × 7² × 29¹
LCM(21304,21315) = 454094760