What is the Least Common Multiple of 76659 and 76669?

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 76659 and 76669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76659 and 76669, than apply into the LCM equation.

GCF(76659,76669) = 1
LCM(76659,76669) = ( 76659 × 76669) / 1
LCM(76659,76669) = 5877368871 / 1
LCM(76659,76669) = 5877368871

Least Common Multiple (LCM) of 76659 and 76669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76659 and 76669. First we will calculate the prime factors of 76659 and 76669.

Prime Factorization of 76659

Prime Factorization of 76669

Now multiplying the highest exponent prime factors to calculate the LCM of 76659 and 76669.

LCM(76659,76669) = 3¹ × 11¹ × 23¹ × 101¹ × 43¹ × 1783¹
LCM(76659,76669) = 5877368871