What is the Least Common Multiple of 8794 and 8803?
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 8794 and 8803 is 77413582.
LCM(8794,8803) = 77413582
Least Common Multiple of 8794 and 8803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8794 and 8803, than apply into the LCM equation.
GCF(8794,8803) = 1
LCM(8794,8803) = ( 8794 × 8803) / 1
LCM(8794,8803) = 77413582 / 1
LCM(8794,8803) = 77413582
Least Common Multiple (LCM) of 8794 and 8803 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8794 and 8803. First we will calculate the prime factors of 8794 and 8803.
Prime Factorization of 8794
Prime factors of 8794 are 2, 4397. Prime factorization of 8794 in exponential form is:
8794 = 21 × 43971
Prime Factorization of 8803
Prime factors of 8803 are 8803. Prime factorization of 8803 in exponential form is:
8803 = 88031
Now multiplying the highest exponent prime factors to calculate the LCM of 8794 and 8803.
LCM(8794,8803) = 21 × 43971 × 88031
LCM(8794,8803) = 77413582
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