What is the Least Common Multiple of 21304 and 21320?

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 21320 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 21320, than apply into the LCM equation.

GCF(21304,21320) = 8
LCM(21304,21320) = ( 21304 × 21320) / 8
LCM(21304,21320) = 454201280 / 8
LCM(21304,21320) = 56775160

Least Common Multiple (LCM) of 21304 and 21320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21304 and 21320. First we will calculate the prime factors of 21304 and 21320.

Prime Factorization of 21304

Prime Factorization of 21320

Now multiplying the highest exponent prime factors to calculate the LCM of 21304 and 21320.

LCM(21304,21320) = 2³ × 2663¹ × 5¹ × 13¹ × 41¹
LCM(21304,21320) = 56775160