What is the Least Common Multiple of 14536 and 14544?

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 14536 and 14544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14536 and 14544, than apply into the LCM equation.

GCF(14536,14544) = 8
LCM(14536,14544) = ( 14536 × 14544) / 8
LCM(14536,14544) = 211411584 / 8
LCM(14536,14544) = 26426448

Least Common Multiple (LCM) of 14536 and 14544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14536 and 14544. First we will calculate the prime factors of 14536 and 14544.

Prime Factorization of 14536

Prime Factorization of 14544

Now multiplying the highest exponent prime factors to calculate the LCM of 14536 and 14544.

LCM(14536,14544) = 2⁴ × 23¹ × 79¹ × 3² × 101¹
LCM(14536,14544) = 26426448