What is the Least Common Multiple of 69887 and 69891?

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 69887 and 69891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69887 and 69891, than apply into the LCM equation.

GCF(69887,69891) = 1
LCM(69887,69891) = ( 69887 × 69891) / 1
LCM(69887,69891) = 4884472317 / 1
LCM(69887,69891) = 4884472317

Least Common Multiple (LCM) of 69887 and 69891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69887 and 69891. First we will calculate the prime factors of 69887 and 69891.

Prime Factorization of 69887

Prime Factorization of 69891

Now multiplying the highest exponent prime factors to calculate the LCM of 69887 and 69891.

LCM(69887,69891) = 17¹ × 4111¹ × 3¹ × 23297¹
LCM(69887,69891) = 4884472317