What is the Least Common Multiple of 85059 and 85076?

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 85059 and 85076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85059 and 85076, than apply into the LCM equation.

GCF(85059,85076) = 1
LCM(85059,85076) = ( 85059 × 85076) / 1
LCM(85059,85076) = 7236479484 / 1
LCM(85059,85076) = 7236479484

Least Common Multiple (LCM) of 85059 and 85076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85059 and 85076. First we will calculate the prime factors of 85059 and 85076.

Prime Factorization of 85059

Prime Factorization of 85076

Now multiplying the highest exponent prime factors to calculate the LCM of 85059 and 85076.

LCM(85059,85076) = 3² × 13¹ × 727¹ × 2² × 21269¹
LCM(85059,85076) = 7236479484