What is the Least Common Multiple of 73539 and 73559?

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 73539 and 73559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73539 and 73559, than apply into the LCM equation.

GCF(73539,73559) = 1
LCM(73539,73559) = ( 73539 × 73559) / 1
LCM(73539,73559) = 5409455301 / 1
LCM(73539,73559) = 5409455301

Least Common Multiple (LCM) of 73539 and 73559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73539 and 73559. First we will calculate the prime factors of 73539 and 73559.

Prime Factorization of 73539

Prime Factorization of 73559

Now multiplying the highest exponent prime factors to calculate the LCM of 73539 and 73559.

LCM(73539,73559) = 3² × 8171¹ × 17¹ × 4327¹
LCM(73539,73559) = 5409455301