What is the Least Common Multiple of 86793 and 86802?

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 86793 and 86802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86793 and 86802, than apply into the LCM equation.

GCF(86793,86802) = 3
LCM(86793,86802) = ( 86793 × 86802) / 3
LCM(86793,86802) = 7533805986 / 3
LCM(86793,86802) = 2511268662

Least Common Multiple (LCM) of 86793 and 86802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86793 and 86802. First we will calculate the prime factors of 86793 and 86802.

Prime Factorization of 86793

Prime Factorization of 86802

Now multiplying the highest exponent prime factors to calculate the LCM of 86793 and 86802.

LCM(86793,86802) = 3¹ × 7¹ × 4133¹ × 2¹ × 17¹ × 23¹ × 37¹
LCM(86793,86802) = 2511268662