What is the Least Common Multiple of 93164 and 93178?
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 93164 and 93178 is 4340417596.
LCM(93164,93178) = 4340417596
Least Common Multiple of 93164 and 93178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93164 and 93178, than apply into the LCM equation.
GCF(93164,93178) = 2
LCM(93164,93178) = ( 93164 × 93178) / 2
LCM(93164,93178) = 8680835192 / 2
LCM(93164,93178) = 4340417596
Least Common Multiple (LCM) of 93164 and 93178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93164 and 93178. First we will calculate the prime factors of 93164 and 93178.
Prime Factorization of 93164
Prime factors of 93164 are 2, 23291. Prime factorization of 93164 in exponential form is:
93164 = 22 × 232911
Prime Factorization of 93178
Prime factors of 93178 are 2, 46589. Prime factorization of 93178 in exponential form is:
93178 = 21 × 465891
Now multiplying the highest exponent prime factors to calculate the LCM of 93164 and 93178.
LCM(93164,93178) = 22 × 232911 × 465891
LCM(93164,93178) = 4340417596
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