What is the Least Common Multiple of 14442 and 14451?

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 14442 and 14451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14442 and 14451, than apply into the LCM equation.

GCF(14442,14451) = 3
LCM(14442,14451) = ( 14442 × 14451) / 3
LCM(14442,14451) = 208701342 / 3
LCM(14442,14451) = 69567114

Least Common Multiple (LCM) of 14442 and 14451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14442 and 14451. First we will calculate the prime factors of 14442 and 14451.

Prime Factorization of 14442

Prime Factorization of 14451

Now multiplying the highest exponent prime factors to calculate the LCM of 14442 and 14451.

LCM(14442,14451) = 2¹ × 3¹ × 29¹ × 83¹ × 4817¹
LCM(14442,14451) = 69567114