What is the Least Common Multiple of 69274 and 69281?

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 69274 and 69281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69274 and 69281, than apply into the LCM equation.

GCF(69274,69281) = 1
LCM(69274,69281) = ( 69274 × 69281) / 1
LCM(69274,69281) = 4799371994 / 1
LCM(69274,69281) = 4799371994

Least Common Multiple (LCM) of 69274 and 69281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69274 and 69281. First we will calculate the prime factors of 69274 and 69281.

Prime Factorization of 69274

Prime Factorization of 69281

Now multiplying the highest exponent prime factors to calculate the LCM of 69274 and 69281.

LCM(69274,69281) = 2¹ × 19¹ × 1823¹ × 29¹ × 2389¹
LCM(69274,69281) = 4799371994