What is the Least Common Multiple of 73728 and 73738?

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 73728 and 73738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73728 and 73738, than apply into the LCM equation.

GCF(73728,73738) = 2
LCM(73728,73738) = ( 73728 × 73738) / 2
LCM(73728,73738) = 5436555264 / 2
LCM(73728,73738) = 2718277632

Least Common Multiple (LCM) of 73728 and 73738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73728 and 73738. First we will calculate the prime factors of 73728 and 73738.

Prime Factorization of 73728

Prime Factorization of 73738

Now multiplying the highest exponent prime factors to calculate the LCM of 73728 and 73738.

LCM(73728,73738) = 2¹³ × 3² × 7¹ × 23¹ × 229¹
LCM(73728,73738) = 2718277632