What is the Least Common Multiple of 4788 and 4795?
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 4795 is 3279780.
LCM(4788,4795) = 3279780
Least Common Multiple of 4788 and 4795 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 4795, than apply into the LCM equation.
GCF(4788,4795) = 7
LCM(4788,4795) = ( 4788 × 4795) / 7
LCM(4788,4795) = 22958460 / 7
LCM(4788,4795) = 3279780
Least Common Multiple (LCM) of 4788 and 4795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4788 and 4795. First we will calculate the prime factors of 4788 and 4795.
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 4795
Prime factors of 4795 are 5, 7, 137. Prime factorization of 4795 in exponential form is:
4795 = 51 × 71 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 4788 and 4795.
LCM(4788,4795) = 22 × 32 × 71 × 191 × 51 × 1371
LCM(4788,4795) = 3279780
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