What is the Least Common Multiple of 86241 and 86245?

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 86241 and 86245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86241 and 86245, than apply into the LCM equation.

GCF(86241,86245) = 1
LCM(86241,86245) = ( 86241 × 86245) / 1
LCM(86241,86245) = 7437855045 / 1
LCM(86241,86245) = 7437855045

Least Common Multiple (LCM) of 86241 and 86245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86241 and 86245. First we will calculate the prime factors of 86241 and 86245.

Prime Factorization of 86241

Prime Factorization of 86245

Now multiplying the highest exponent prime factors to calculate the LCM of 86241 and 86245.

LCM(86241,86245) = 3¹ × 17¹ × 19¹ × 89¹ × 5¹ × 47¹ × 367¹
LCM(86241,86245) = 7437855045