What is the Least Common Multiple of 4788 and 4792?
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 4788 and 4792 is 5736024.
LCM(4788,4792) = 5736024
Least Common Multiple of 4788 and 4792 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4788 and 4792, than apply into the LCM equation.
GCF(4788,4792) = 4
LCM(4788,4792) = ( 4788 × 4792) / 4
LCM(4788,4792) = 22944096 / 4
LCM(4788,4792) = 5736024
Least Common Multiple (LCM) of 4788 and 4792 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4788 and 4792. First we will calculate the prime factors of 4788 and 4792.
Prime Factorization of 4788
Prime factors of 4788 are 2, 3, 7, 19. Prime factorization of 4788 in exponential form is:
4788 = 22 × 32 × 71 × 191
Prime Factorization of 4792
Prime factors of 4792 are 2, 599. Prime factorization of 4792 in exponential form is:
4792 = 23 × 5991
Now multiplying the highest exponent prime factors to calculate the LCM of 4788 and 4792.
LCM(4788,4792) = 23 × 32 × 71 × 191 × 5991
LCM(4788,4792) = 5736024
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