What is the Least Common Multiple of 14028 and 14035?

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 14028 and 14035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14028 and 14035, than apply into the LCM equation.

GCF(14028,14035) = 7
LCM(14028,14035) = ( 14028 × 14035) / 7
LCM(14028,14035) = 196882980 / 7
LCM(14028,14035) = 28126140

Least Common Multiple (LCM) of 14028 and 14035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14028 and 14035. First we will calculate the prime factors of 14028 and 14035.

Prime Factorization of 14028

Prime Factorization of 14035

Now multiplying the highest exponent prime factors to calculate the LCM of 14028 and 14035.

LCM(14028,14035) = 2² × 3¹ × 7¹ × 167¹ × 5¹ × 401¹
LCM(14028,14035) = 28126140