What is the Least Common Multiple of 14164 and 14182?

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 14164 and 14182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14164 and 14182, than apply into the LCM equation.

GCF(14164,14182) = 2
LCM(14164,14182) = ( 14164 × 14182) / 2
LCM(14164,14182) = 200873848 / 2
LCM(14164,14182) = 100436924

Least Common Multiple (LCM) of 14164 and 14182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14164 and 14182. First we will calculate the prime factors of 14164 and 14182.

Prime Factorization of 14164

Prime Factorization of 14182

Now multiplying the highest exponent prime factors to calculate the LCM of 14164 and 14182.

LCM(14164,14182) = 2² × 3541¹ × 7¹ × 1013¹
LCM(14164,14182) = 100436924