What is the Least Common Multiple of 14066 and 14079?

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 14066 and 14079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14066 and 14079, than apply into the LCM equation.

GCF(14066,14079) = 13
LCM(14066,14079) = ( 14066 × 14079) / 13
LCM(14066,14079) = 198035214 / 13
LCM(14066,14079) = 15233478

Least Common Multiple (LCM) of 14066 and 14079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14066 and 14079. First we will calculate the prime factors of 14066 and 14079.

Prime Factorization of 14066

Prime Factorization of 14079

Now multiplying the highest exponent prime factors to calculate the LCM of 14066 and 14079.

LCM(14066,14079) = 2¹ × 13¹ × 541¹ × 3¹ × 19²
LCM(14066,14079) = 15233478