What is the Least Common Multiple of 69278 and 69286?

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 69286 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 69286, than apply into the LCM equation.

GCF(69278,69286) = 2
LCM(69278,69286) = ( 69278 × 69286) / 2
LCM(69278,69286) = 4799995508 / 2
LCM(69278,69286) = 2399997754

Least Common Multiple (LCM) of 69278 and 69286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69278 and 69286. First we will calculate the prime factors of 69278 and 69286.

Prime Factorization of 69278

Prime Factorization of 69286

Now multiplying the highest exponent prime factors to calculate the LCM of 69278 and 69286.

LCM(69278,69286) = 2¹ × 11¹ × 47¹ × 67¹ × 7³ × 101¹
LCM(69278,69286) = 2399997754