What is the Least Common Multiple of 14700 and 14707?

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 14700 and 14707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14700 and 14707, than apply into the LCM equation.

GCF(14700,14707) = 7
LCM(14700,14707) = ( 14700 × 14707) / 7
LCM(14700,14707) = 216192900 / 7
LCM(14700,14707) = 30884700

Least Common Multiple (LCM) of 14700 and 14707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14700 and 14707. First we will calculate the prime factors of 14700 and 14707.

Prime Factorization of 14700

Prime Factorization of 14707

Now multiplying the highest exponent prime factors to calculate the LCM of 14700 and 14707.

LCM(14700,14707) = 2² × 3¹ × 5² × 7² × 11¹ × 191¹
LCM(14700,14707) = 30884700