What is the Least Common Multiple of 14475 and 14492?

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 14475 and 14492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14475 and 14492, than apply into the LCM equation.

GCF(14475,14492) = 1
LCM(14475,14492) = ( 14475 × 14492) / 1
LCM(14475,14492) = 209771700 / 1
LCM(14475,14492) = 209771700

Least Common Multiple (LCM) of 14475 and 14492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14475 and 14492. First we will calculate the prime factors of 14475 and 14492.

Prime Factorization of 14475

Prime Factorization of 14492

Now multiplying the highest exponent prime factors to calculate the LCM of 14475 and 14492.

LCM(14475,14492) = 3¹ × 5² × 193¹ × 2² × 3623¹
LCM(14475,14492) = 209771700