What is the Least Common Multiple of 14034 and 14054?

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 14034 and 14054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14034 and 14054, than apply into the LCM equation.

GCF(14034,14054) = 2
LCM(14034,14054) = ( 14034 × 14054) / 2
LCM(14034,14054) = 197233836 / 2
LCM(14034,14054) = 98616918

Least Common Multiple (LCM) of 14034 and 14054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14034 and 14054. First we will calculate the prime factors of 14034 and 14054.

Prime Factorization of 14034

Prime Factorization of 14054

Now multiplying the highest exponent prime factors to calculate the LCM of 14034 and 14054.

LCM(14034,14054) = 2¹ × 3¹ × 2339¹ × 7027¹
LCM(14034,14054) = 98616918