What is the Least Common Multiple of 69328 and 69339?

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 69328 and 69339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69328 and 69339, than apply into the LCM equation.

GCF(69328,69339) = 1
LCM(69328,69339) = ( 69328 × 69339) / 1
LCM(69328,69339) = 4807134192 / 1
LCM(69328,69339) = 4807134192

Least Common Multiple (LCM) of 69328 and 69339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69328 and 69339. First we will calculate the prime factors of 69328 and 69339.

Prime Factorization of 69328

Prime Factorization of 69339

Now multiplying the highest exponent prime factors to calculate the LCM of 69328 and 69339.

LCM(69328,69339) = 2⁴ × 7¹ × 619¹ × 3¹ × 29¹ × 797¹
LCM(69328,69339) = 4807134192