What is the Least Common Multiple of 69384 and 69398?

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 69384 and 69398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69384 and 69398, than apply into the LCM equation.

GCF(69384,69398) = 14
LCM(69384,69398) = ( 69384 × 69398) / 14
LCM(69384,69398) = 4815110832 / 14
LCM(69384,69398) = 343936488

Least Common Multiple (LCM) of 69384 and 69398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69384 and 69398. First we will calculate the prime factors of 69384 and 69398.

Prime Factorization of 69384

Prime Factorization of 69398

Now multiplying the highest exponent prime factors to calculate the LCM of 69384 and 69398.

LCM(69384,69398) = 2³ × 3¹ × 7² × 59¹ × 4957¹
LCM(69384,69398) = 343936488