What is the Least Common Multiple of 14053 and 14066?

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 14053 and 14066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14053 and 14066, than apply into the LCM equation.

GCF(14053,14066) = 13
LCM(14053,14066) = ( 14053 × 14066) / 13
LCM(14053,14066) = 197669498 / 13
LCM(14053,14066) = 15205346

Least Common Multiple (LCM) of 14053 and 14066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14053 and 14066. First we will calculate the prime factors of 14053 and 14066.

Prime Factorization of 14053

Prime Factorization of 14066

Now multiplying the highest exponent prime factors to calculate the LCM of 14053 and 14066.

LCM(14053,14066) = 13¹ × 23¹ × 47¹ × 2¹ × 541¹
LCM(14053,14066) = 15205346