What is the Least Common Multiple of 73809 and 73824?

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 73809 and 73824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73809 and 73824, than apply into the LCM equation.

GCF(73809,73824) = 3
LCM(73809,73824) = ( 73809 × 73824) / 3
LCM(73809,73824) = 5448875616 / 3
LCM(73809,73824) = 1816291872

Least Common Multiple (LCM) of 73809 and 73824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73809 and 73824. First we will calculate the prime factors of 73809 and 73824.

Prime Factorization of 73809

Prime Factorization of 73824

Now multiplying the highest exponent prime factors to calculate the LCM of 73809 and 73824.

LCM(73809,73824) = 3² × 59¹ × 139¹ × 2⁵ × 769¹
LCM(73809,73824) = 1816291872