What is the Least Common Multiple of 73593 and 73613?

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 73593 and 73613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73593 and 73613, than apply into the LCM equation.

GCF(73593,73613) = 1
LCM(73593,73613) = ( 73593 × 73613) / 1
LCM(73593,73613) = 5417401509 / 1
LCM(73593,73613) = 5417401509

Least Common Multiple (LCM) of 73593 and 73613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73593 and 73613. First we will calculate the prime factors of 73593 and 73613.

Prime Factorization of 73593

Prime Factorization of 73613

Now multiplying the highest exponent prime factors to calculate the LCM of 73593 and 73613.

LCM(73593,73613) = 3² × 13¹ × 17¹ × 37¹ × 73613¹
LCM(73593,73613) = 5417401509