What is the Least Common Multiple of 86024 and 86034?

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 86024 and 86034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86024 and 86034, than apply into the LCM equation.

GCF(86024,86034) = 2
LCM(86024,86034) = ( 86024 × 86034) / 2
LCM(86024,86034) = 7400988816 / 2
LCM(86024,86034) = 3700494408

Least Common Multiple (LCM) of 86024 and 86034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86024 and 86034. First we will calculate the prime factors of 86024 and 86034.

Prime Factorization of 86024

Prime Factorization of 86034

Now multiplying the highest exponent prime factors to calculate the LCM of 86024 and 86034.

LCM(86024,86034) = 2³ × 10753¹ × 3¹ × 13¹ × 1103¹
LCM(86024,86034) = 3700494408