What is the Least Common Multiple of 73728 and 73734?

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 73734 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 73734, than apply into the LCM equation.

GCF(73728,73734) = 6
LCM(73728,73734) = ( 73728 × 73734) / 6
LCM(73728,73734) = 5436260352 / 6
LCM(73728,73734) = 906043392

Least Common Multiple (LCM) of 73728 and 73734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73728 and 73734. First we will calculate the prime factors of 73728 and 73734.

Prime Factorization of 73728

Prime Factorization of 73734

Now multiplying the highest exponent prime factors to calculate the LCM of 73728 and 73734.

LCM(73728,73734) = 2¹³ × 3² × 12289¹
LCM(73728,73734) = 906043392