What is the Least Common Multiple of 85791 and 85811?

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 85791 and 85811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85791 and 85811, than apply into the LCM equation.

GCF(85791,85811) = 1
LCM(85791,85811) = ( 85791 × 85811) / 1
LCM(85791,85811) = 7361811501 / 1
LCM(85791,85811) = 7361811501

Least Common Multiple (LCM) of 85791 and 85811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85791 and 85811. First we will calculate the prime factors of 85791 and 85811.

Prime Factorization of 85791

Prime Factorization of 85811

Now multiplying the highest exponent prime factors to calculate the LCM of 85791 and 85811.

LCM(85791,85811) = 3¹ × 28597¹ × 11¹ × 29¹ × 269¹
LCM(85791,85811) = 7361811501