What is the Least Common Multiple of 76489 and 76500?

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 76489 and 76500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76489 and 76500, than apply into the LCM equation.

GCF(76489,76500) = 1
LCM(76489,76500) = ( 76489 × 76500) / 1
LCM(76489,76500) = 5851408500 / 1
LCM(76489,76500) = 5851408500

Least Common Multiple (LCM) of 76489 and 76500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76489 and 76500. First we will calculate the prime factors of 76489 and 76500.

Prime Factorization of 76489

Prime Factorization of 76500

Now multiplying the highest exponent prime factors to calculate the LCM of 76489 and 76500.

LCM(76489,76500) = 7³ × 223¹ × 2² × 3² × 5³ × 17¹
LCM(76489,76500) = 5851408500