What is the Least Common Multiple of 14880 and 14893?

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 14880 and 14893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14880 and 14893, than apply into the LCM equation.

GCF(14880,14893) = 1
LCM(14880,14893) = ( 14880 × 14893) / 1
LCM(14880,14893) = 221607840 / 1
LCM(14880,14893) = 221607840

Least Common Multiple (LCM) of 14880 and 14893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14880 and 14893. First we will calculate the prime factors of 14880 and 14893.

Prime Factorization of 14880

Prime Factorization of 14893

Now multiplying the highest exponent prime factors to calculate the LCM of 14880 and 14893.

LCM(14880,14893) = 2⁵ × 3¹ × 5¹ × 31¹ × 53¹ × 281¹
LCM(14880,14893) = 221607840