What is the Least Common Multiple of 20314 and 20328?

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 20314 and 20328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20314 and 20328, than apply into the LCM equation.

GCF(20314,20328) = 14
LCM(20314,20328) = ( 20314 × 20328) / 14
LCM(20314,20328) = 412942992 / 14
LCM(20314,20328) = 29495928

Least Common Multiple (LCM) of 20314 and 20328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20314 and 20328. First we will calculate the prime factors of 20314 and 20328.

Prime Factorization of 20314

Prime Factorization of 20328

Now multiplying the highest exponent prime factors to calculate the LCM of 20314 and 20328.

LCM(20314,20328) = 2³ × 7¹ × 1451¹ × 3¹ × 11²
LCM(20314,20328) = 29495928