What is the Least Common Multiple of 86892 and 86899?

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 86899 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 86899, than apply into the LCM equation.

GCF(86892,86899) = 1
LCM(86892,86899) = ( 86892 × 86899) / 1
LCM(86892,86899) = 7550827908 / 1
LCM(86892,86899) = 7550827908

Least Common Multiple (LCM) of 86892 and 86899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86892 and 86899. First we will calculate the prime factors of 86892 and 86899.

Prime Factorization of 86892

Prime Factorization of 86899

Now multiplying the highest exponent prime factors to calculate the LCM of 86892 and 86899.

LCM(86892,86899) = 2² × 3¹ × 13¹ × 557¹ × 67¹ × 1297¹
LCM(86892,86899) = 7550827908