What is the Least Common Multiple of 83116 and 83134?

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 83116 and 83134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83116 and 83134, than apply into the LCM equation.

GCF(83116,83134) = 2
LCM(83116,83134) = ( 83116 × 83134) / 2
LCM(83116,83134) = 6909765544 / 2
LCM(83116,83134) = 3454882772

Least Common Multiple (LCM) of 83116 and 83134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83116 and 83134. First we will calculate the prime factors of 83116 and 83134.

Prime Factorization of 83116

Prime Factorization of 83134

Now multiplying the highest exponent prime factors to calculate the LCM of 83116 and 83134.

LCM(83116,83134) = 2² × 11¹ × 1889¹ × 197¹ × 211¹
LCM(83116,83134) = 3454882772