What is the Least Common Multiple of 85928 and 85937?

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 85928 and 85937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85928 and 85937, than apply into the LCM equation.

GCF(85928,85937) = 1
LCM(85928,85937) = ( 85928 × 85937) / 1
LCM(85928,85937) = 7384394536 / 1
LCM(85928,85937) = 7384394536

Least Common Multiple (LCM) of 85928 and 85937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85928 and 85937. First we will calculate the prime factors of 85928 and 85937.

Prime Factorization of 85928

Prime Factorization of 85937

Now multiplying the highest exponent prime factors to calculate the LCM of 85928 and 85937.

LCM(85928,85937) = 2³ × 23¹ × 467¹ × 19¹ × 4523¹
LCM(85928,85937) = 7384394536