What is the Least Common Multiple of 83708 and 83725?

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 83708 and 83725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83708 and 83725, than apply into the LCM equation.

GCF(83708,83725) = 17
LCM(83708,83725) = ( 83708 × 83725) / 17
LCM(83708,83725) = 7008452300 / 17
LCM(83708,83725) = 412261900

Least Common Multiple (LCM) of 83708 and 83725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83708 and 83725. First we will calculate the prime factors of 83708 and 83725.

Prime Factorization of 83708

Prime Factorization of 83725

Now multiplying the highest exponent prime factors to calculate the LCM of 83708 and 83725.

LCM(83708,83725) = 2² × 17¹ × 1231¹ × 5² × 197¹
LCM(83708,83725) = 412261900