What is the Least Common Multiple of 69344 and 69348?

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 69344 and 69348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69344 and 69348, than apply into the LCM equation.

GCF(69344,69348) = 4
LCM(69344,69348) = ( 69344 × 69348) / 4
LCM(69344,69348) = 4808867712 / 4
LCM(69344,69348) = 1202216928

Least Common Multiple (LCM) of 69344 and 69348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69344 and 69348. First we will calculate the prime factors of 69344 and 69348.

Prime Factorization of 69344

Prime Factorization of 69348

Now multiplying the highest exponent prime factors to calculate the LCM of 69344 and 69348.

LCM(69344,69348) = 2⁵ × 11¹ × 197¹ × 3¹ × 5779¹
LCM(69344,69348) = 1202216928