What is the Least Common Multiple of 87993 and 87999?

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 87993 and 87999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87993 and 87999, than apply into the LCM equation.

GCF(87993,87999) = 3
LCM(87993,87999) = ( 87993 × 87999) / 3
LCM(87993,87999) = 7743296007 / 3
LCM(87993,87999) = 2581098669

Least Common Multiple (LCM) of 87993 and 87999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87993 and 87999. First we will calculate the prime factors of 87993 and 87999.

Prime Factorization of 87993

Prime Factorization of 87999

Now multiplying the highest exponent prime factors to calculate the LCM of 87993 and 87999.

LCM(87993,87999) = 3³ × 3259¹ × 29333¹
LCM(87993,87999) = 2581098669