What is the Least Common Multiple of 93242 and 93261?
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 93242 and 93261 is 8695842162.
LCM(93242,93261) = 8695842162
Least Common Multiple of 93242 and 93261 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93242 and 93261, than apply into the LCM equation.
GCF(93242,93261) = 1
LCM(93242,93261) = ( 93242 × 93261) / 1
LCM(93242,93261) = 8695842162 / 1
LCM(93242,93261) = 8695842162
Least Common Multiple (LCM) of 93242 and 93261 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93242 and 93261. First we will calculate the prime factors of 93242 and 93261.
Prime Factorization of 93242
Prime factors of 93242 are 2, 23, 2027. Prime factorization of 93242 in exponential form is:
93242 = 21 × 231 × 20271
Prime Factorization of 93261
Prime factors of 93261 are 3, 7, 4441. Prime factorization of 93261 in exponential form is:
93261 = 31 × 71 × 44411
Now multiplying the highest exponent prime factors to calculate the LCM of 93242 and 93261.
LCM(93242,93261) = 21 × 231 × 20271 × 31 × 71 × 44411
LCM(93242,93261) = 8695842162
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