What is the Least Common Multiple of 86481 and 86492?

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 86481 and 86492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86481 and 86492, than apply into the LCM equation.

GCF(86481,86492) = 1
LCM(86481,86492) = ( 86481 × 86492) / 1
LCM(86481,86492) = 7479914652 / 1
LCM(86481,86492) = 7479914652

Least Common Multiple (LCM) of 86481 and 86492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86481 and 86492. First we will calculate the prime factors of 86481 and 86492.

Prime Factorization of 86481

Prime Factorization of 86492

Now multiplying the highest exponent prime factors to calculate the LCM of 86481 and 86492.

LCM(86481,86492) = 3³ × 3203¹ × 2² × 7¹ × 3089¹
LCM(86481,86492) = 7479914652