What is the Least Common Multiple of 14544 and 14558?

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 14544 and 14558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14544 and 14558, than apply into the LCM equation.

GCF(14544,14558) = 2
LCM(14544,14558) = ( 14544 × 14558) / 2
LCM(14544,14558) = 211731552 / 2
LCM(14544,14558) = 105865776

Least Common Multiple (LCM) of 14544 and 14558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14544 and 14558. First we will calculate the prime factors of 14544 and 14558.

Prime Factorization of 14544

Prime Factorization of 14558

Now multiplying the highest exponent prime factors to calculate the LCM of 14544 and 14558.

LCM(14544,14558) = 2⁴ × 3² × 101¹ × 29¹ × 251¹
LCM(14544,14558) = 105865776