What is the Least Common Multiple of 95625 and 95643?

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 95625 and 95643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95625 and 95643, than apply into the LCM equation.

GCF(95625,95643) = 9
LCM(95625,95643) = ( 95625 × 95643) / 9
LCM(95625,95643) = 9145861875 / 9
LCM(95625,95643) = 1016206875

Least Common Multiple (LCM) of 95625 and 95643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95625 and 95643. First we will calculate the prime factors of 95625 and 95643.

Prime Factorization of 95625

Prime Factorization of 95643

Now multiplying the highest exponent prime factors to calculate the LCM of 95625 and 95643.

LCM(95625,95643) = 3² × 5⁴ × 17¹ × 10627¹
LCM(95625,95643) = 1016206875