What is the Least Common Multiple of 14021 and 14034?

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 14021 and 14034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14021 and 14034, than apply into the LCM equation.

GCF(14021,14034) = 1
LCM(14021,14034) = ( 14021 × 14034) / 1
LCM(14021,14034) = 196770714 / 1
LCM(14021,14034) = 196770714

Least Common Multiple (LCM) of 14021 and 14034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14021 and 14034. First we will calculate the prime factors of 14021 and 14034.

Prime Factorization of 14021

Prime Factorization of 14034

Now multiplying the highest exponent prime factors to calculate the LCM of 14021 and 14034.

LCM(14021,14034) = 7¹ × 2003¹ × 2¹ × 3¹ × 2339¹
LCM(14021,14034) = 196770714