What is the Least Common Multiple of 92184 and 92200?

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 92184 and 92200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92184 and 92200, than apply into the LCM equation.

GCF(92184,92200) = 8
LCM(92184,92200) = ( 92184 × 92200) / 8
LCM(92184,92200) = 8499364800 / 8
LCM(92184,92200) = 1062420600

Least Common Multiple (LCM) of 92184 and 92200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92184 and 92200. First we will calculate the prime factors of 92184 and 92200.

Prime Factorization of 92184

Prime Factorization of 92200

Now multiplying the highest exponent prime factors to calculate the LCM of 92184 and 92200.

LCM(92184,92200) = 2³ × 3¹ × 23¹ × 167¹ × 5² × 461¹
LCM(92184,92200) = 1062420600