What is the Least Common Multiple of 14182 and 14189?

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 14182 and 14189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14182 and 14189, than apply into the LCM equation.

GCF(14182,14189) = 7
LCM(14182,14189) = ( 14182 × 14189) / 7
LCM(14182,14189) = 201228398 / 7
LCM(14182,14189) = 28746914

Least Common Multiple (LCM) of 14182 and 14189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14182 and 14189. First we will calculate the prime factors of 14182 and 14189.

Prime Factorization of 14182

Prime Factorization of 14189

Now multiplying the highest exponent prime factors to calculate the LCM of 14182 and 14189.

LCM(14182,14189) = 2¹ × 7¹ × 1013¹ × 2027¹
LCM(14182,14189) = 28746914