What is the Least Common Multiple of 67473 and 67488?

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 67473 and 67488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67473 and 67488, than apply into the LCM equation.

GCF(67473,67488) = 3
LCM(67473,67488) = ( 67473 × 67488) / 3
LCM(67473,67488) = 4553617824 / 3
LCM(67473,67488) = 1517872608

Least Common Multiple (LCM) of 67473 and 67488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67473 and 67488. First we will calculate the prime factors of 67473 and 67488.

Prime Factorization of 67473

Prime Factorization of 67488

Now multiplying the highest exponent prime factors to calculate the LCM of 67473 and 67488.

LCM(67473,67488) = 3⁴ × 7² × 17¹ × 2⁵ × 19¹ × 37¹
LCM(67473,67488) = 1517872608