What is the Least Common Multiple of 76850 and 76870?

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 76850 and 76870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76850 and 76870, than apply into the LCM equation.

GCF(76850,76870) = 10
LCM(76850,76870) = ( 76850 × 76870) / 10
LCM(76850,76870) = 5907459500 / 10
LCM(76850,76870) = 590745950

Least Common Multiple (LCM) of 76850 and 76870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76850 and 76870. First we will calculate the prime factors of 76850 and 76870.

Prime Factorization of 76850

Prime Factorization of 76870

Now multiplying the highest exponent prime factors to calculate the LCM of 76850 and 76870.

LCM(76850,76870) = 2¹ × 5² × 29¹ × 53¹ × 7687¹
LCM(76850,76870) = 590745950