What is the Least Common Multiple of 7883 and 7893?
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 7883 and 7893 is 62220519.
LCM(7883,7893) = 62220519
Least Common Multiple of 7883 and 7893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7883 and 7893, than apply into the LCM equation.
GCF(7883,7893) = 1
LCM(7883,7893) = ( 7883 × 7893) / 1
LCM(7883,7893) = 62220519 / 1
LCM(7883,7893) = 62220519
Least Common Multiple (LCM) of 7883 and 7893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7883 and 7893. First we will calculate the prime factors of 7883 and 7893.
Prime Factorization of 7883
Prime factors of 7883 are 7883. Prime factorization of 7883 in exponential form is:
7883 = 78831
Prime Factorization of 7893
Prime factors of 7893 are 3, 877. Prime factorization of 7893 in exponential form is:
7893 = 32 × 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 7883 and 7893.
LCM(7883,7893) = 78831 × 32 × 8771
LCM(7883,7893) = 62220519
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