What is the Least Common Multiple of 92141 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 (LCM) of 92141 and 92154 is 8491161714.
LCM(92141,92154) = 8491161714
Least Common Multiple of 92141 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 92141 and 92154, than apply into the LCM equation.
GCF(92141,92154) = 1
LCM(92141,92154) = ( 92141 × 92154) / 1
LCM(92141,92154) = 8491161714 / 1
LCM(92141,92154) = 8491161714
Least Common Multiple (LCM) of 92141 and 92154 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92141 and 92154. First we will calculate the prime factors of 92141 and 92154.
Prime Factorization of 92141
Prime factors of 92141 are 7, 13163. Prime factorization of 92141 in exponential form is:
92141 = 71 × 131631
Prime Factorization of 92154
Prime factors of 92154 are 2, 3, 15359. Prime factorization of 92154 in exponential form is:
92154 = 21 × 31 × 153591
Now multiplying the highest exponent prime factors to calculate the LCM of 92141 and 92154.
LCM(92141,92154) = 71 × 131631 × 21 × 31 × 153591
LCM(92141,92154) = 8491161714
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