What is the Least Common Multiple of 83125 and 83144?

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 83144 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 83144, than apply into the LCM equation.

GCF(83125,83144) = 19
LCM(83125,83144) = ( 83125 × 83144) / 19
LCM(83125,83144) = 6911345000 / 19
LCM(83125,83144) = 363755000

Least Common Multiple (LCM) of 83125 and 83144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83125 and 83144. First we will calculate the prime factors of 83125 and 83144.

Prime Factorization of 83125

Prime Factorization of 83144

Now multiplying the highest exponent prime factors to calculate the LCM of 83125 and 83144.

LCM(83125,83144) = 5⁴ × 7¹ × 19¹ × 2³ × 547¹
LCM(83125,83144) = 363755000