What is the Least Common Multiple of 76500 and 76507?

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 76500 and 76507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76500 and 76507, than apply into the LCM equation.

GCF(76500,76507) = 1
LCM(76500,76507) = ( 76500 × 76507) / 1
LCM(76500,76507) = 5852785500 / 1
LCM(76500,76507) = 5852785500

Least Common Multiple (LCM) of 76500 and 76507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76500 and 76507. First we will calculate the prime factors of 76500 and 76507.

Prime Factorization of 76500

Prime Factorization of 76507

Now multiplying the highest exponent prime factors to calculate the LCM of 76500 and 76507.

LCM(76500,76507) = 2² × 3² × 5³ × 17¹ × 76507¹
LCM(76500,76507) = 5852785500