What is the Least Common Multiple of 81124 and 81136?

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 81124 and 81136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81124 and 81136, than apply into the LCM equation.

GCF(81124,81136) = 4
LCM(81124,81136) = ( 81124 × 81136) / 4
LCM(81124,81136) = 6582076864 / 4
LCM(81124,81136) = 1645519216

Least Common Multiple (LCM) of 81124 and 81136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81124 and 81136. First we will calculate the prime factors of 81124 and 81136.

Prime Factorization of 81124

Prime Factorization of 81136

Now multiplying the highest exponent prime factors to calculate the LCM of 81124 and 81136.

LCM(81124,81136) = 2⁴ × 17¹ × 1193¹ × 11¹ × 461¹
LCM(81124,81136) = 1645519216