What is the Least Common Multiple of 93778 and 93794?
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 93778 and 93794 is 4397906866.
LCM(93778,93794) = 4397906866
Least Common Multiple of 93778 and 93794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93778 and 93794, than apply into the LCM equation.
GCF(93778,93794) = 2
LCM(93778,93794) = ( 93778 × 93794) / 2
LCM(93778,93794) = 8795813732 / 2
LCM(93778,93794) = 4397906866
Least Common Multiple (LCM) of 93778 and 93794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93778 and 93794. First we will calculate the prime factors of 93778 and 93794.
Prime Factorization of 93778
Prime factors of 93778 are 2, 46889. Prime factorization of 93778 in exponential form is:
93778 = 21 × 468891
Prime Factorization of 93794
Prime factors of 93794 are 2, 23, 2039. Prime factorization of 93794 in exponential form is:
93794 = 21 × 231 × 20391
Now multiplying the highest exponent prime factors to calculate the LCM of 93778 and 93794.
LCM(93778,93794) = 21 × 468891 × 231 × 20391
LCM(93778,93794) = 4397906866
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