What is the Least Common Multiple of 14700 and 14719?

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 14719 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 14719, than apply into the LCM equation.

GCF(14700,14719) = 1
LCM(14700,14719) = ( 14700 × 14719) / 1
LCM(14700,14719) = 216369300 / 1
LCM(14700,14719) = 216369300

Least Common Multiple (LCM) of 14700 and 14719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14700 and 14719. First we will calculate the prime factors of 14700 and 14719.

Prime Factorization of 14700

Prime Factorization of 14719

Now multiplying the highest exponent prime factors to calculate the LCM of 14700 and 14719.

LCM(14700,14719) = 2² × 3¹ × 5² × 7² × 41¹ × 359¹
LCM(14700,14719) = 216369300