What is the Least Common Multiple of 8791 and 8799?
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 8791 and 8799 is 77352009.
LCM(8791,8799) = 77352009
Least Common Multiple of 8791 and 8799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8791 and 8799, than apply into the LCM equation.
GCF(8791,8799) = 1
LCM(8791,8799) = ( 8791 × 8799) / 1
LCM(8791,8799) = 77352009 / 1
LCM(8791,8799) = 77352009
Least Common Multiple (LCM) of 8791 and 8799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8791 and 8799. First we will calculate the prime factors of 8791 and 8799.
Prime Factorization of 8791
Prime factors of 8791 are 59, 149. Prime factorization of 8791 in exponential form is:
8791 = 591 × 1491
Prime Factorization of 8799
Prime factors of 8799 are 3, 7, 419. Prime factorization of 8799 in exponential form is:
8799 = 31 × 71 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 8791 and 8799.
LCM(8791,8799) = 591 × 1491 × 31 × 71 × 4191
LCM(8791,8799) = 77352009
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