What is the Least Common Multiple of 14470 and 14475?

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 14470 and 14475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14470 and 14475, than apply into the LCM equation.

GCF(14470,14475) = 5
LCM(14470,14475) = ( 14470 × 14475) / 5
LCM(14470,14475) = 209453250 / 5
LCM(14470,14475) = 41890650

Least Common Multiple (LCM) of 14470 and 14475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14470 and 14475. First we will calculate the prime factors of 14470 and 14475.

Prime Factorization of 14470

Prime Factorization of 14475

Now multiplying the highest exponent prime factors to calculate the LCM of 14470 and 14475.

LCM(14470,14475) = 2¹ × 5² × 1447¹ × 3¹ × 193¹
LCM(14470,14475) = 41890650