What is the Least Common Multiple of 83138 and 83149?

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 83138 and 83149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83138 and 83149, than apply into the LCM equation.

GCF(83138,83149) = 11
LCM(83138,83149) = ( 83138 × 83149) / 11
LCM(83138,83149) = 6912841562 / 11
LCM(83138,83149) = 628440142

Least Common Multiple (LCM) of 83138 and 83149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83138 and 83149. First we will calculate the prime factors of 83138 and 83149.

Prime Factorization of 83138

Prime Factorization of 83149

Now multiplying the highest exponent prime factors to calculate the LCM of 83138 and 83149.

LCM(83138,83149) = 2¹ × 11¹ × 3779¹ × 7559¹
LCM(83138,83149) = 628440142