What is the Least Common Multiple of 14460 and 14469?

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 14460 and 14469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14460 and 14469, than apply into the LCM equation.

GCF(14460,14469) = 3
LCM(14460,14469) = ( 14460 × 14469) / 3
LCM(14460,14469) = 209221740 / 3
LCM(14460,14469) = 69740580

Least Common Multiple (LCM) of 14460 and 14469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14460 and 14469. First we will calculate the prime factors of 14460 and 14469.

Prime Factorization of 14460

Prime Factorization of 14469

Now multiplying the highest exponent prime factors to calculate the LCM of 14460 and 14469.

LCM(14460,14469) = 2² × 3¹ × 5¹ × 241¹ × 7¹ × 13¹ × 53¹
LCM(14460,14469) = 69740580