What is the Least Common Multiple of 76892 and 76898?

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 76892 and 76898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76892 and 76898, than apply into the LCM equation.

GCF(76892,76898) = 2
LCM(76892,76898) = ( 76892 × 76898) / 2
LCM(76892,76898) = 5912841016 / 2
LCM(76892,76898) = 2956420508

Least Common Multiple (LCM) of 76892 and 76898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76892 and 76898. First we will calculate the prime factors of 76892 and 76898.

Prime Factorization of 76892

Prime Factorization of 76898

Now multiplying the highest exponent prime factors to calculate the LCM of 76892 and 76898.

LCM(76892,76898) = 2² × 47¹ × 409¹ × 38449¹
LCM(76892,76898) = 2956420508