What is the Least Common Multiple of 14430 and 14442?

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 14430 and 14442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14430 and 14442, than apply into the LCM equation.

GCF(14430,14442) = 6
LCM(14430,14442) = ( 14430 × 14442) / 6
LCM(14430,14442) = 208398060 / 6
LCM(14430,14442) = 34733010

Least Common Multiple (LCM) of 14430 and 14442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14430 and 14442. First we will calculate the prime factors of 14430 and 14442.

Prime Factorization of 14430

Prime Factorization of 14442

Now multiplying the highest exponent prime factors to calculate the LCM of 14430 and 14442.

LCM(14430,14442) = 2¹ × 3¹ × 5¹ × 13¹ × 37¹ × 29¹ × 83¹
LCM(14430,14442) = 34733010