What is the Least Common Multiple of 38256 and 38275?
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 38256 and 38275 is 1464248400.
LCM(38256,38275) = 1464248400
Least Common Multiple of 38256 and 38275 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38256 and 38275, than apply into the LCM equation.
GCF(38256,38275) = 1
LCM(38256,38275) = ( 38256 × 38275) / 1
LCM(38256,38275) = 1464248400 / 1
LCM(38256,38275) = 1464248400
Least Common Multiple (LCM) of 38256 and 38275 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38256 and 38275. First we will calculate the prime factors of 38256 and 38275.
Prime Factorization of 38256
Prime factors of 38256 are 2, 3, 797. Prime factorization of 38256 in exponential form is:
38256 = 24 × 31 × 7971
Prime Factorization of 38275
Prime factors of 38275 are 5, 1531. Prime factorization of 38275 in exponential form is:
38275 = 52 × 15311
Now multiplying the highest exponent prime factors to calculate the LCM of 38256 and 38275.
LCM(38256,38275) = 24 × 31 × 7971 × 52 × 15311
LCM(38256,38275) = 1464248400
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