What is the Least Common Multiple of 8784 and 8800?
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 8784 and 8800 is 4831200.
LCM(8784,8800) = 4831200
Least Common Multiple of 8784 and 8800 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8784 and 8800, than apply into the LCM equation.
GCF(8784,8800) = 16
LCM(8784,8800) = ( 8784 × 8800) / 16
LCM(8784,8800) = 77299200 / 16
LCM(8784,8800) = 4831200
Least Common Multiple (LCM) of 8784 and 8800 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8784 and 8800. First we will calculate the prime factors of 8784 and 8800.
Prime Factorization of 8784
Prime factors of 8784 are 2, 3, 61. Prime factorization of 8784 in exponential form is:
8784 = 24 × 32 × 611
Prime Factorization of 8800
Prime factors of 8800 are 2, 5, 11. Prime factorization of 8800 in exponential form is:
8800 = 25 × 52 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 8784 and 8800.
LCM(8784,8800) = 25 × 32 × 611 × 52 × 111
LCM(8784,8800) = 4831200
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