What is the Least Common Multiple of 69328 and 69346?

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 69346 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 69346, than apply into the LCM equation.

GCF(69328,69346) = 2
LCM(69328,69346) = ( 69328 × 69346) / 2
LCM(69328,69346) = 4807619488 / 2
LCM(69328,69346) = 2403809744

Least Common Multiple (LCM) of 69328 and 69346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69328 and 69346. First we will calculate the prime factors of 69328 and 69346.

Prime Factorization of 69328

Prime Factorization of 69346

Now multiplying the highest exponent prime factors to calculate the LCM of 69328 and 69346.

LCM(69328,69346) = 2⁴ × 7¹ × 619¹ × 34673¹
LCM(69328,69346) = 2403809744