What is the Least Common Multiple of 77176 and 77191?
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 77176 and 77191 is 5957292616.
LCM(77176,77191) = 5957292616
Least Common Multiple of 77176 and 77191 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77176 and 77191, than apply into the LCM equation.
GCF(77176,77191) = 1
LCM(77176,77191) = ( 77176 × 77191) / 1
LCM(77176,77191) = 5957292616 / 1
LCM(77176,77191) = 5957292616
Least Common Multiple (LCM) of 77176 and 77191 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77176 and 77191. First we will calculate the prime factors of 77176 and 77191.
Prime Factorization of 77176
Prime factors of 77176 are 2, 11, 877. Prime factorization of 77176 in exponential form is:
77176 = 23 × 111 × 8771
Prime Factorization of 77191
Prime factors of 77191 are 77191. Prime factorization of 77191 in exponential form is:
77191 = 771911
Now multiplying the highest exponent prime factors to calculate the LCM of 77176 and 77191.
LCM(77176,77191) = 23 × 111 × 8771 × 771911
LCM(77176,77191) = 5957292616
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