What is the Least Common Multiple of 92184 and 92198?

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 92198 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 92198, than apply into the LCM equation.

GCF(92184,92198) = 2
LCM(92184,92198) = ( 92184 × 92198) / 2
LCM(92184,92198) = 8499180432 / 2
LCM(92184,92198) = 4249590216

Least Common Multiple (LCM) of 92184 and 92198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92184 and 92198. First we will calculate the prime factors of 92184 and 92198.

Prime Factorization of 92184

Prime Factorization of 92198

Now multiplying the highest exponent prime factors to calculate the LCM of 92184 and 92198.

LCM(92184,92198) = 2³ × 3¹ × 23¹ × 167¹ × 46099¹
LCM(92184,92198) = 4249590216