What is the Least Common Multiple of 77897 and 77903?
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 77897 and 77903 is 6068409991.
LCM(77897,77903) = 6068409991
Least Common Multiple of 77897 and 77903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77897 and 77903, than apply into the LCM equation.
GCF(77897,77903) = 1
LCM(77897,77903) = ( 77897 × 77903) / 1
LCM(77897,77903) = 6068409991 / 1
LCM(77897,77903) = 6068409991
Least Common Multiple (LCM) of 77897 and 77903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77897 and 77903. First we will calculate the prime factors of 77897 and 77903.
Prime Factorization of 77897
Prime factors of 77897 are 61, 1277. Prime factorization of 77897 in exponential form is:
77897 = 611 × 12771
Prime Factorization of 77903
Prime factors of 77903 are 7, 31, 359. Prime factorization of 77903 in exponential form is:
77903 = 71 × 311 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 77897 and 77903.
LCM(77897,77903) = 611 × 12771 × 71 × 311 × 3591
LCM(77897,77903) = 6068409991
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