What is the Least Common Multiple of 86757 and 86773?

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 86757 and 86773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86757 and 86773, than apply into the LCM equation.

GCF(86757,86773) = 1
LCM(86757,86773) = ( 86757 × 86773) / 1
LCM(86757,86773) = 7528165161 / 1
LCM(86757,86773) = 7528165161

Least Common Multiple (LCM) of 86757 and 86773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86757 and 86773. First we will calculate the prime factors of 86757 and 86773.

Prime Factorization of 86757

Prime Factorization of 86773

Now multiplying the highest exponent prime factors to calculate the LCM of 86757 and 86773.

LCM(86757,86773) = 3¹ × 11² × 239¹ × 19¹ × 4567¹
LCM(86757,86773) = 7528165161