What is the Least Common Multiple of 95575 and 95585?

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 95575 and 95585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95575 and 95585, than apply into the LCM equation.

GCF(95575,95585) = 5
LCM(95575,95585) = ( 95575 × 95585) / 5
LCM(95575,95585) = 9135536375 / 5
LCM(95575,95585) = 1827107275

Least Common Multiple (LCM) of 95575 and 95585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95575 and 95585. First we will calculate the prime factors of 95575 and 95585.

Prime Factorization of 95575

Prime Factorization of 95585

Now multiplying the highest exponent prime factors to calculate the LCM of 95575 and 95585.

LCM(95575,95585) = 5² × 3823¹ × 7¹ × 2731¹
LCM(95575,95585) = 1827107275