What is the Least Common Multiple of 14424 and 14430?

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 14424 and 14430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14424 and 14430, than apply into the LCM equation.

GCF(14424,14430) = 6
LCM(14424,14430) = ( 14424 × 14430) / 6
LCM(14424,14430) = 208138320 / 6
LCM(14424,14430) = 34689720

Least Common Multiple (LCM) of 14424 and 14430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14424 and 14430. First we will calculate the prime factors of 14424 and 14430.

Prime Factorization of 14424

Prime Factorization of 14430

Now multiplying the highest exponent prime factors to calculate the LCM of 14424 and 14430.

LCM(14424,14430) = 2³ × 3¹ × 601¹ × 5¹ × 13¹ × 37¹
LCM(14424,14430) = 34689720