What is the Least Common Multiple of 14875 and 14881?

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 14881 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 14881, than apply into the LCM equation.

GCF(14875,14881) = 1
LCM(14875,14881) = ( 14875 × 14881) / 1
LCM(14875,14881) = 221354875 / 1
LCM(14875,14881) = 221354875

Least Common Multiple (LCM) of 14875 and 14881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14875 and 14881. First we will calculate the prime factors of 14875 and 14881.

Prime Factorization of 14875

Prime Factorization of 14881

Now multiplying the highest exponent prime factors to calculate the LCM of 14875 and 14881.

LCM(14875,14881) = 5³ × 7¹ × 17¹ × 23¹ × 647¹
LCM(14875,14881) = 221354875