What is the Least Common Multiple of 86892 and 86898?

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 86892 and 86898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86892 and 86898, than apply into the LCM equation.

GCF(86892,86898) = 6
LCM(86892,86898) = ( 86892 × 86898) / 6
LCM(86892,86898) = 7550741016 / 6
LCM(86892,86898) = 1258456836

Least Common Multiple (LCM) of 86892 and 86898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86892 and 86898. First we will calculate the prime factors of 86892 and 86898.

Prime Factorization of 86892

Prime Factorization of 86898

Now multiplying the highest exponent prime factors to calculate the LCM of 86892 and 86898.

LCM(86892,86898) = 2² × 3¹ × 13¹ × 557¹ × 7¹ × 2069¹
LCM(86892,86898) = 1258456836