What is the Least Common Multiple of 95710 and 95725?

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 95710 and 95725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95710 and 95725, than apply into the LCM equation.

GCF(95710,95725) = 5
LCM(95710,95725) = ( 95710 × 95725) / 5
LCM(95710,95725) = 9161839750 / 5
LCM(95710,95725) = 1832367950

Least Common Multiple (LCM) of 95710 and 95725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95710 and 95725. First we will calculate the prime factors of 95710 and 95725.

Prime Factorization of 95710

Prime Factorization of 95725

Now multiplying the highest exponent prime factors to calculate the LCM of 95710 and 95725.

LCM(95710,95725) = 2¹ × 5² × 17¹ × 563¹ × 7¹ × 547¹
LCM(95710,95725) = 1832367950