What is the Least Common Multiple of 904 and 914?
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 904 and 914 is 413128.
LCM(904,914) = 413128
Least Common Multiple of 904 and 914 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 904 and 914, than apply into the LCM equation.
GCF(904,914) = 2
LCM(904,914) = ( 904 × 914) / 2
LCM(904,914) = 826256 / 2
LCM(904,914) = 413128
Least Common Multiple (LCM) of 904 and 914 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 904 and 914. First we will calculate the prime factors of 904 and 914.
Prime Factorization of 904
Prime factors of 904 are 2, 113. Prime factorization of 904 in exponential form is:
904 = 23 × 1131
Prime Factorization of 914
Prime factors of 914 are 2, 457. Prime factorization of 914 in exponential form is:
914 = 21 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 904 and 914.
LCM(904,914) = 23 × 1131 × 4571
LCM(904,914) = 413128
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