What is the Least Common Multiple of 47925 and 47939?

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 47925 and 47939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47925 and 47939, than apply into the LCM equation.

GCF(47925,47939) = 1
LCM(47925,47939) = ( 47925 × 47939) / 1
LCM(47925,47939) = 2297476575 / 1
LCM(47925,47939) = 2297476575

Least Common Multiple (LCM) of 47925 and 47939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47925 and 47939. First we will calculate the prime factors of 47925 and 47939.

Prime Factorization of 47925

Prime Factorization of 47939

Now multiplying the highest exponent prime factors to calculate the LCM of 47925 and 47939.

LCM(47925,47939) = 3³ × 5² × 71¹ × 47939¹
LCM(47925,47939) = 2297476575