What is the Least Common Multiple of 14860 and 14872?

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 14860 and 14872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14860 and 14872, than apply into the LCM equation.

GCF(14860,14872) = 4
LCM(14860,14872) = ( 14860 × 14872) / 4
LCM(14860,14872) = 220997920 / 4
LCM(14860,14872) = 55249480

Least Common Multiple (LCM) of 14860 and 14872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14860 and 14872. First we will calculate the prime factors of 14860 and 14872.

Prime Factorization of 14860

Prime Factorization of 14872

Now multiplying the highest exponent prime factors to calculate the LCM of 14860 and 14872.

LCM(14860,14872) = 2³ × 5¹ × 743¹ × 11¹ × 13²
LCM(14860,14872) = 55249480