What is the Least Common Multiple of 76589 and 76609?

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 76589 and 76609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76589 and 76609, than apply into the LCM equation.

GCF(76589,76609) = 1
LCM(76589,76609) = ( 76589 × 76609) / 1
LCM(76589,76609) = 5867406701 / 1
LCM(76589,76609) = 5867406701

Least Common Multiple (LCM) of 76589 and 76609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76589 and 76609. First we will calculate the prime factors of 76589 and 76609.

Prime Factorization of 76589

Prime Factorization of 76609

Now multiplying the highest exponent prime factors to calculate the LCM of 76589 and 76609.

LCM(76589,76609) = 19¹ × 29¹ × 139¹ × 13¹ × 71¹ × 83¹
LCM(76589,76609) = 5867406701