What is the Least Common Multiple of 79647 and 79655?
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 79647 and 79655 is 6344281785.
LCM(79647,79655) = 6344281785
Least Common Multiple of 79647 and 79655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79647 and 79655, than apply into the LCM equation.
GCF(79647,79655) = 1
LCM(79647,79655) = ( 79647 × 79655) / 1
LCM(79647,79655) = 6344281785 / 1
LCM(79647,79655) = 6344281785
Least Common Multiple (LCM) of 79647 and 79655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79647 and 79655. First we will calculate the prime factors of 79647 and 79655.
Prime Factorization of 79647
Prime factors of 79647 are 3, 139, 191. Prime factorization of 79647 in exponential form is:
79647 = 31 × 1391 × 1911
Prime Factorization of 79655
Prime factors of 79655 are 5, 89, 179. Prime factorization of 79655 in exponential form is:
79655 = 51 × 891 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 79647 and 79655.
LCM(79647,79655) = 31 × 1391 × 1911 × 51 × 891 × 1791
LCM(79647,79655) = 6344281785
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