What is the Least Common Multiple of 69854 and 69862?

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 69854 and 69862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69854 and 69862, than apply into the LCM equation.

GCF(69854,69862) = 2
LCM(69854,69862) = ( 69854 × 69862) / 2
LCM(69854,69862) = 4880140148 / 2
LCM(69854,69862) = 2440070074

Least Common Multiple (LCM) of 69854 and 69862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69854 and 69862. First we will calculate the prime factors of 69854 and 69862.

Prime Factorization of 69854

Prime Factorization of 69862

Now multiplying the highest exponent prime factors to calculate the LCM of 69854 and 69862.

LCM(69854,69862) = 2¹ × 53¹ × 659¹ × 13¹ × 2687¹
LCM(69854,69862) = 2440070074