What is the Least Common Multiple of 8788 and 8793?
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 8788 and 8793 is 77272884.
LCM(8788,8793) = 77272884
Least Common Multiple of 8788 and 8793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8788 and 8793, than apply into the LCM equation.
GCF(8788,8793) = 1
LCM(8788,8793) = ( 8788 × 8793) / 1
LCM(8788,8793) = 77272884 / 1
LCM(8788,8793) = 77272884
Least Common Multiple (LCM) of 8788 and 8793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8788 and 8793. First we will calculate the prime factors of 8788 and 8793.
Prime Factorization of 8788
Prime factors of 8788 are 2, 13. Prime factorization of 8788 in exponential form is:
8788 = 22 × 133
Prime Factorization of 8793
Prime factors of 8793 are 3, 977. Prime factorization of 8793 in exponential form is:
8793 = 32 × 9771
Now multiplying the highest exponent prime factors to calculate the LCM of 8788 and 8793.
LCM(8788,8793) = 22 × 133 × 32 × 9771
LCM(8788,8793) = 77272884
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