What is the Least Common Multiple of 73392 and 73409?

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 73392 and 73409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73392 and 73409, than apply into the LCM equation.

GCF(73392,73409) = 1
LCM(73392,73409) = ( 73392 × 73409) / 1
LCM(73392,73409) = 5387633328 / 1
LCM(73392,73409) = 5387633328

Least Common Multiple (LCM) of 73392 and 73409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73392 and 73409. First we will calculate the prime factors of 73392 and 73409.

Prime Factorization of 73392

Prime Factorization of 73409

Now multiplying the highest exponent prime factors to calculate the LCM of 73392 and 73409.

LCM(73392,73409) = 2⁴ × 3¹ × 11¹ × 139¹ × 7¹ × 10487¹
LCM(73392,73409) = 5387633328