What is the Least Common Multiple of 76885 and 76905?
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 76885 and 76905 is 1182568185.
LCM(76885,76905) = 1182568185
Least Common Multiple of 76885 and 76905 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76885 and 76905, than apply into the LCM equation.
GCF(76885,76905) = 5
LCM(76885,76905) = ( 76885 × 76905) / 5
LCM(76885,76905) = 5912840925 / 5
LCM(76885,76905) = 1182568185
Least Common Multiple (LCM) of 76885 and 76905 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76885 and 76905. First we will calculate the prime factors of 76885 and 76905.
Prime Factorization of 76885
Prime factors of 76885 are 5, 15377. Prime factorization of 76885 in exponential form is:
76885 = 51 × 153771
Prime Factorization of 76905
Prime factors of 76905 are 3, 5, 1709. Prime factorization of 76905 in exponential form is:
76905 = 32 × 51 × 17091
Now multiplying the highest exponent prime factors to calculate the LCM of 76885 and 76905.
LCM(76885,76905) = 51 × 153771 × 32 × 17091
LCM(76885,76905) = 1182568185
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