What is the Least Common Multiple of 41710 and 41725?

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 41710 and 41725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41710 and 41725, than apply into the LCM equation.

GCF(41710,41725) = 5
LCM(41710,41725) = ( 41710 × 41725) / 5
LCM(41710,41725) = 1740349750 / 5
LCM(41710,41725) = 348069950

Least Common Multiple (LCM) of 41710 and 41725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41710 and 41725. First we will calculate the prime factors of 41710 and 41725.

Prime Factorization of 41710

Prime Factorization of 41725

Now multiplying the highest exponent prime factors to calculate the LCM of 41710 and 41725.

LCM(41710,41725) = 2¹ × 5² × 43¹ × 97¹ × 1669¹
LCM(41710,41725) = 348069950