What is the Least Common Multiple of 85823 and 85841?

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 85823 and 85841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85823 and 85841, than apply into the LCM equation.

GCF(85823,85841) = 1
LCM(85823,85841) = ( 85823 × 85841) / 1
LCM(85823,85841) = 7367132143 / 1
LCM(85823,85841) = 7367132143

Least Common Multiple (LCM) of 85823 and 85841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85823 and 85841. First we will calculate the prime factors of 85823 and 85841.

Prime Factorization of 85823

Prime Factorization of 85841

Now multiplying the highest exponent prime factors to calculate the LCM of 85823 and 85841.

LCM(85823,85841) = 19¹ × 4517¹ × 7¹ × 12263¹
LCM(85823,85841) = 7367132143