What is the Least Common Multiple of 83144 and 83164?

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 83144 and 83164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83144 and 83164, than apply into the LCM equation.

GCF(83144,83164) = 4
LCM(83144,83164) = ( 83144 × 83164) / 4
LCM(83144,83164) = 6914587616 / 4
LCM(83144,83164) = 1728646904

Least Common Multiple (LCM) of 83144 and 83164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83144 and 83164. First we will calculate the prime factors of 83144 and 83164.

Prime Factorization of 83144

Prime Factorization of 83164

Now multiplying the highest exponent prime factors to calculate the LCM of 83144 and 83164.

LCM(83144,83164) = 2³ × 19¹ × 547¹ × 17¹ × 1223¹
LCM(83144,83164) = 1728646904