What is the Least Common Multiple of 78922 and 78927?
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 78922 and 78927 is 6229076694.
LCM(78922,78927) = 6229076694
Least Common Multiple of 78922 and 78927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78922 and 78927, than apply into the LCM equation.
GCF(78922,78927) = 1
LCM(78922,78927) = ( 78922 × 78927) / 1
LCM(78922,78927) = 6229076694 / 1
LCM(78922,78927) = 6229076694
Least Common Multiple (LCM) of 78922 and 78927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78922 and 78927. First we will calculate the prime factors of 78922 and 78927.
Prime Factorization of 78922
Prime factors of 78922 are 2, 39461. Prime factorization of 78922 in exponential form is:
78922 = 21 × 394611
Prime Factorization of 78927
Prime factors of 78927 are 3, 26309. Prime factorization of 78927 in exponential form is:
78927 = 31 × 263091
Now multiplying the highest exponent prime factors to calculate the LCM of 78922 and 78927.
LCM(78922,78927) = 21 × 394611 × 31 × 263091
LCM(78922,78927) = 6229076694
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