What is the Least Common Multiple of 77883 and 77887?
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 77883 and 77887 is 6066073221.
LCM(77883,77887) = 6066073221
Least Common Multiple of 77883 and 77887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77883 and 77887, than apply into the LCM equation.
GCF(77883,77887) = 1
LCM(77883,77887) = ( 77883 × 77887) / 1
LCM(77883,77887) = 6066073221 / 1
LCM(77883,77887) = 6066073221
Least Common Multiple (LCM) of 77883 and 77887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77883 and 77887. First we will calculate the prime factors of 77883 and 77887.
Prime Factorization of 77883
Prime factors of 77883 are 3, 13, 1997. Prime factorization of 77883 in exponential form is:
77883 = 31 × 131 × 19971
Prime Factorization of 77887
Prime factors of 77887 are 71, 1097. Prime factorization of 77887 in exponential form is:
77887 = 711 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 77883 and 77887.
LCM(77883,77887) = 31 × 131 × 19971 × 711 × 10971
LCM(77883,77887) = 6066073221
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