What is the Least Common Multiple of 92136 and 92154?

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 92136 and 92154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92136 and 92154, than apply into the LCM equation.

GCF(92136,92154) = 6
LCM(92136,92154) = ( 92136 × 92154) / 6
LCM(92136,92154) = 8490700944 / 6
LCM(92136,92154) = 1415116824

Least Common Multiple (LCM) of 92136 and 92154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92136 and 92154. First we will calculate the prime factors of 92136 and 92154.

Prime Factorization of 92136

Prime Factorization of 92154

Now multiplying the highest exponent prime factors to calculate the LCM of 92136 and 92154.

LCM(92136,92154) = 2³ × 3¹ × 11¹ × 349¹ × 15359¹
LCM(92136,92154) = 1415116824