What is the Least Common Multiple of 76874 and 76894?
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 76874 and 76894 is 2955574678.
LCM(76874,76894) = 2955574678
Least Common Multiple of 76874 and 76894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76874 and 76894, than apply into the LCM equation.
GCF(76874,76894) = 2
LCM(76874,76894) = ( 76874 × 76894) / 2
LCM(76874,76894) = 5911149356 / 2
LCM(76874,76894) = 2955574678
Least Common Multiple (LCM) of 76874 and 76894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76874 and 76894. First we will calculate the prime factors of 76874 and 76894.
Prime Factorization of 76874
Prime factors of 76874 are 2, 7, 17, 19. Prime factorization of 76874 in exponential form is:
76874 = 21 × 71 × 172 × 191
Prime Factorization of 76894
Prime factors of 76894 are 2, 38447. Prime factorization of 76894 in exponential form is:
76894 = 21 × 384471
Now multiplying the highest exponent prime factors to calculate the LCM of 76874 and 76894.
LCM(76874,76894) = 21 × 71 × 172 × 191 × 384471
LCM(76874,76894) = 2955574678
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