What is the Least Common Multiple of 73723 and 73728?

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 73723 and 73728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73723 and 73728, than apply into the LCM equation.

GCF(73723,73728) = 1
LCM(73723,73728) = ( 73723 × 73728) / 1
LCM(73723,73728) = 5435449344 / 1
LCM(73723,73728) = 5435449344

Least Common Multiple (LCM) of 73723 and 73728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73723 and 73728. First we will calculate the prime factors of 73723 and 73728.

Prime Factorization of 73723

Prime Factorization of 73728

Now multiplying the highest exponent prime factors to calculate the LCM of 73723 and 73728.

LCM(73723,73728) = 13¹ × 53¹ × 107¹ × 2¹³ × 3²
LCM(73723,73728) = 5435449344