What is the Least Common Multiple of 86793 and 86804?

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 86804 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 86804, than apply into the LCM equation.

GCF(86793,86804) = 1
LCM(86793,86804) = ( 86793 × 86804) / 1
LCM(86793,86804) = 7533979572 / 1
LCM(86793,86804) = 7533979572

Least Common Multiple (LCM) of 86793 and 86804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86793 and 86804. First we will calculate the prime factors of 86793 and 86804.

Prime Factorization of 86793

Prime Factorization of 86804

Now multiplying the highest exponent prime factors to calculate the LCM of 86793 and 86804.

LCM(86793,86804) = 3¹ × 7¹ × 4133¹ × 2² × 21701¹
LCM(86793,86804) = 7533979572