What is the Least Common Multiple of 77887 and 77897?
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 77887 and 77897 is 6067163639.
LCM(77887,77897) = 6067163639
Least Common Multiple of 77887 and 77897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77887 and 77897, than apply into the LCM equation.
GCF(77887,77897) = 1
LCM(77887,77897) = ( 77887 × 77897) / 1
LCM(77887,77897) = 6067163639 / 1
LCM(77887,77897) = 6067163639
Least Common Multiple (LCM) of 77887 and 77897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77887 and 77897. First we will calculate the prime factors of 77887 and 77897.
Prime Factorization of 77887
Prime factors of 77887 are 71, 1097. Prime factorization of 77887 in exponential form is:
77887 = 711 × 10971
Prime Factorization of 77897
Prime factors of 77897 are 61, 1277. Prime factorization of 77897 in exponential form is:
77897 = 611 × 12771
Now multiplying the highest exponent prime factors to calculate the LCM of 77887 and 77897.
LCM(77887,77897) = 711 × 10971 × 611 × 12771
LCM(77887,77897) = 6067163639
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