What is the Least Common Multiple of 83125 and 83138?

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 83125 and 83138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83125 and 83138, than apply into the LCM equation.

GCF(83125,83138) = 1
LCM(83125,83138) = ( 83125 × 83138) / 1
LCM(83125,83138) = 6910846250 / 1
LCM(83125,83138) = 6910846250

Least Common Multiple (LCM) of 83125 and 83138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83125 and 83138. First we will calculate the prime factors of 83125 and 83138.

Prime Factorization of 83125

Prime Factorization of 83138

Now multiplying the highest exponent prime factors to calculate the LCM of 83125 and 83138.

LCM(83125,83138) = 5⁴ × 7¹ × 19¹ × 2¹ × 11¹ × 3779¹
LCM(83125,83138) = 6910846250