What is the Least Common Multiple of 73791 and 73809?

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 73791 and 73809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73791 and 73809, than apply into the LCM equation.

GCF(73791,73809) = 9
LCM(73791,73809) = ( 73791 × 73809) / 9
LCM(73791,73809) = 5446439919 / 9
LCM(73791,73809) = 605159991

Least Common Multiple (LCM) of 73791 and 73809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73791 and 73809. First we will calculate the prime factors of 73791 and 73809.

Prime Factorization of 73791

Prime Factorization of 73809

Now multiplying the highest exponent prime factors to calculate the LCM of 73791 and 73809.

LCM(73791,73809) = 3⁴ × 911¹ × 59¹ × 139¹
LCM(73791,73809) = 605159991