What is the Least Common Multiple of 83121 and 83136?

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 83121 and 83136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83121 and 83136, than apply into the LCM equation.

GCF(83121,83136) = 3
LCM(83121,83136) = ( 83121 × 83136) / 3
LCM(83121,83136) = 6910347456 / 3
LCM(83121,83136) = 2303449152

Least Common Multiple (LCM) of 83121 and 83136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83121 and 83136. First we will calculate the prime factors of 83121 and 83136.

Prime Factorization of 83121

Prime Factorization of 83136

Now multiplying the highest exponent prime factors to calculate the LCM of 83121 and 83136.

LCM(83121,83136) = 3¹ × 103¹ × 269¹ × 2⁶ × 433¹
LCM(83121,83136) = 2303449152