What is the Least Common Multiple of 76587 and 76605?

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 76587 and 76605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76587 and 76605, than apply into the LCM equation.

GCF(76587,76605) = 3
LCM(76587,76605) = ( 76587 × 76605) / 3
LCM(76587,76605) = 5866947135 / 3
LCM(76587,76605) = 1955649045

Least Common Multiple (LCM) of 76587 and 76605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76587 and 76605. First we will calculate the prime factors of 76587 and 76605.

Prime Factorization of 76587

Prime Factorization of 76605

Now multiplying the highest exponent prime factors to calculate the LCM of 76587 and 76605.

LCM(76587,76605) = 3¹ × 7² × 521¹ × 5¹ × 5107¹
LCM(76587,76605) = 1955649045