What is the Least Common Multiple of 69256 and 69274?

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 69256 and 69274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69256 and 69274, than apply into the LCM equation.

GCF(69256,69274) = 2
LCM(69256,69274) = ( 69256 × 69274) / 2
LCM(69256,69274) = 4797640144 / 2
LCM(69256,69274) = 2398820072

Least Common Multiple (LCM) of 69256 and 69274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69256 and 69274. First we will calculate the prime factors of 69256 and 69274.

Prime Factorization of 69256

Prime Factorization of 69274

Now multiplying the highest exponent prime factors to calculate the LCM of 69256 and 69274.

LCM(69256,69274) = 2³ × 11¹ × 787¹ × 19¹ × 1823¹
LCM(69256,69274) = 2398820072