What is the Least Common Multiple of 83136 and 83143?

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 83136 and 83143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83136 and 83143, than apply into the LCM equation.

GCF(83136,83143) = 1
LCM(83136,83143) = ( 83136 × 83143) / 1
LCM(83136,83143) = 6912176448 / 1
LCM(83136,83143) = 6912176448

Least Common Multiple (LCM) of 83136 and 83143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83136 and 83143. First we will calculate the prime factors of 83136 and 83143.

Prime Factorization of 83136

Prime Factorization of 83143

Now multiplying the highest exponent prime factors to calculate the LCM of 83136 and 83143.

LCM(83136,83143) = 2⁶ × 3¹ × 433¹ × 29¹ × 47¹ × 61¹
LCM(83136,83143) = 6912176448