What is the Least Common Multiple of 14469 and 14480?

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 14469 and 14480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14469 and 14480, than apply into the LCM equation.

GCF(14469,14480) = 1
LCM(14469,14480) = ( 14469 × 14480) / 1
LCM(14469,14480) = 209511120 / 1
LCM(14469,14480) = 209511120

Least Common Multiple (LCM) of 14469 and 14480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14469 and 14480. First we will calculate the prime factors of 14469 and 14480.

Prime Factorization of 14469

Prime Factorization of 14480

Now multiplying the highest exponent prime factors to calculate the LCM of 14469 and 14480.

LCM(14469,14480) = 3¹ × 7¹ × 13¹ × 53¹ × 2⁴ × 5¹ × 181¹
LCM(14469,14480) = 209511120