What is the Least Common Multiple of 69278 and 69296?

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 69278 and 69296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69278 and 69296, than apply into the LCM equation.

GCF(69278,69296) = 2
LCM(69278,69296) = ( 69278 × 69296) / 2
LCM(69278,69296) = 4800688288 / 2
LCM(69278,69296) = 2400344144

Least Common Multiple (LCM) of 69278 and 69296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69278 and 69296. First we will calculate the prime factors of 69278 and 69296.

Prime Factorization of 69278

Prime Factorization of 69296

Now multiplying the highest exponent prime factors to calculate the LCM of 69278 and 69296.

LCM(69278,69296) = 2⁴ × 11¹ × 47¹ × 67¹ × 61¹ × 71¹
LCM(69278,69296) = 2400344144