What is the Least Common Multiple of 8896 and 8912?
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 8896 and 8912 is 4955072.
LCM(8896,8912) = 4955072
Least Common Multiple of 8896 and 8912 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8896 and 8912, than apply into the LCM equation.
GCF(8896,8912) = 16
LCM(8896,8912) = ( 8896 × 8912) / 16
LCM(8896,8912) = 79281152 / 16
LCM(8896,8912) = 4955072
Least Common Multiple (LCM) of 8896 and 8912 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8896 and 8912. First we will calculate the prime factors of 8896 and 8912.
Prime Factorization of 8896
Prime factors of 8896 are 2, 139. Prime factorization of 8896 in exponential form is:
8896 = 26 × 1391
Prime Factorization of 8912
Prime factors of 8912 are 2, 557. Prime factorization of 8912 in exponential form is:
8912 = 24 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 8896 and 8912.
LCM(8896,8912) = 26 × 1391 × 5571
LCM(8896,8912) = 4955072
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