What is the Least Common Multiple of 43925 and 43939?

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 43925 and 43939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43925 and 43939, than apply into the LCM equation.

GCF(43925,43939) = 7
LCM(43925,43939) = ( 43925 × 43939) / 7
LCM(43925,43939) = 1930020575 / 7
LCM(43925,43939) = 275717225

Least Common Multiple (LCM) of 43925 and 43939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43925 and 43939. First we will calculate the prime factors of 43925 and 43939.

Prime Factorization of 43925

Prime Factorization of 43939

Now multiplying the highest exponent prime factors to calculate the LCM of 43925 and 43939.

LCM(43925,43939) = 5² × 7¹ × 251¹ × 6277¹
LCM(43925,43939) = 275717225