What is the Least Common Multiple of 14538 and 14550?

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 14538 and 14550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14538 and 14550, than apply into the LCM equation.

GCF(14538,14550) = 6
LCM(14538,14550) = ( 14538 × 14550) / 6
LCM(14538,14550) = 211527900 / 6
LCM(14538,14550) = 35254650

Least Common Multiple (LCM) of 14538 and 14550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14538 and 14550. First we will calculate the prime factors of 14538 and 14550.

Prime Factorization of 14538

Prime Factorization of 14550

Now multiplying the highest exponent prime factors to calculate the LCM of 14538 and 14550.

LCM(14538,14550) = 2¹ × 3¹ × 2423¹ × 5² × 97¹
LCM(14538,14550) = 35254650