What is the Least Common Multiple of 85184 and 85204?

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 85184 and 85204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85184 and 85204, than apply into the LCM equation.

GCF(85184,85204) = 4
LCM(85184,85204) = ( 85184 × 85204) / 4
LCM(85184,85204) = 7258017536 / 4
LCM(85184,85204) = 1814504384

Least Common Multiple (LCM) of 85184 and 85204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85184 and 85204. First we will calculate the prime factors of 85184 and 85204.

Prime Factorization of 85184

Prime Factorization of 85204

Now multiplying the highest exponent prime factors to calculate the LCM of 85184 and 85204.

LCM(85184,85204) = 2⁶ × 11³ × 7¹ × 17¹ × 179¹
LCM(85184,85204) = 1814504384