What is the Least Common Multiple of 85092 and 85099?

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 85092 and 85099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85092 and 85099, than apply into the LCM equation.

GCF(85092,85099) = 7
LCM(85092,85099) = ( 85092 × 85099) / 7
LCM(85092,85099) = 7241244108 / 7
LCM(85092,85099) = 1034463444

Least Common Multiple (LCM) of 85092 and 85099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85092 and 85099. First we will calculate the prime factors of 85092 and 85099.

Prime Factorization of 85092

Prime Factorization of 85099

Now multiplying the highest exponent prime factors to calculate the LCM of 85092 and 85099.

LCM(85092,85099) = 2² × 3¹ × 7¹ × 1013¹ × 12157¹
LCM(85092,85099) = 1034463444