What is the Least Common Multiple of 85869 and 85883?

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 85869 and 85883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85869 and 85883, than apply into the LCM equation.

GCF(85869,85883) = 7
LCM(85869,85883) = ( 85869 × 85883) / 7
LCM(85869,85883) = 7374687327 / 7
LCM(85869,85883) = 1053526761

Least Common Multiple (LCM) of 85869 and 85883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85869 and 85883. First we will calculate the prime factors of 85869 and 85883.

Prime Factorization of 85869

Prime Factorization of 85883

Now multiplying the highest exponent prime factors to calculate the LCM of 85869 and 85883.

LCM(85869,85883) = 3² × 7¹ × 29¹ × 47¹ × 12269¹
LCM(85869,85883) = 1053526761