What is the Least Common Multiple of 69884 and 69898?

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 69884 and 69898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69884 and 69898, than apply into the LCM equation.

GCF(69884,69898) = 2
LCM(69884,69898) = ( 69884 × 69898) / 2
LCM(69884,69898) = 4884751832 / 2
LCM(69884,69898) = 2442375916

Least Common Multiple (LCM) of 69884 and 69898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69884 and 69898. First we will calculate the prime factors of 69884 and 69898.

Prime Factorization of 69884

Prime Factorization of 69898

Now multiplying the highest exponent prime factors to calculate the LCM of 69884 and 69898.

LCM(69884,69898) = 2² × 17471¹ × 34949¹
LCM(69884,69898) = 2442375916