What is the Least Common Multiple of 77899 and 77904?
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 77899 and 77904 is 6068643696.
LCM(77899,77904) = 6068643696
Least Common Multiple of 77899 and 77904 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77899 and 77904, than apply into the LCM equation.
GCF(77899,77904) = 1
LCM(77899,77904) = ( 77899 × 77904) / 1
LCM(77899,77904) = 6068643696 / 1
LCM(77899,77904) = 6068643696
Least Common Multiple (LCM) of 77899 and 77904 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77899 and 77904. First we will calculate the prime factors of 77899 and 77904.
Prime Factorization of 77899
Prime factors of 77899 are 77899. Prime factorization of 77899 in exponential form is:
77899 = 778991
Prime Factorization of 77904
Prime factors of 77904 are 2, 3, 541. Prime factorization of 77904 in exponential form is:
77904 = 24 × 32 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 77899 and 77904.
LCM(77899,77904) = 778991 × 24 × 32 × 5411
LCM(77899,77904) = 6068643696
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