What is the Least Common Multiple of 21304 and 21314?

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 21314 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 21314, than apply into the LCM equation.

GCF(21304,21314) = 2
LCM(21304,21314) = ( 21304 × 21314) / 2
LCM(21304,21314) = 454073456 / 2
LCM(21304,21314) = 227036728

Least Common Multiple (LCM) of 21304 and 21314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21304 and 21314. First we will calculate the prime factors of 21304 and 21314.

Prime Factorization of 21304

Prime Factorization of 21314

Now multiplying the highest exponent prime factors to calculate the LCM of 21304 and 21314.

LCM(21304,21314) = 2³ × 2663¹ × 10657¹
LCM(21304,21314) = 227036728