What is the Least Common Multiple of 14875 and 14880?

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 14875 and 14880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14875 and 14880, than apply into the LCM equation.

GCF(14875,14880) = 5
LCM(14875,14880) = ( 14875 × 14880) / 5
LCM(14875,14880) = 221340000 / 5
LCM(14875,14880) = 44268000

Least Common Multiple (LCM) of 14875 and 14880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14875 and 14880. First we will calculate the prime factors of 14875 and 14880.

Prime Factorization of 14875

Prime Factorization of 14880

Now multiplying the highest exponent prime factors to calculate the LCM of 14875 and 14880.

LCM(14875,14880) = 5³ × 7¹ × 17¹ × 2⁵ × 3¹ × 31¹
LCM(14875,14880) = 44268000