What is the Least Common Multiple of 38447 and 38461?
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 38447 and 38461 is 1478710067.
LCM(38447,38461) = 1478710067
Least Common Multiple of 38447 and 38461 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38447 and 38461, than apply into the LCM equation.
GCF(38447,38461) = 1
LCM(38447,38461) = ( 38447 × 38461) / 1
LCM(38447,38461) = 1478710067 / 1
LCM(38447,38461) = 1478710067
Least Common Multiple (LCM) of 38447 and 38461 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38447 and 38461. First we will calculate the prime factors of 38447 and 38461.
Prime Factorization of 38447
Prime factors of 38447 are 38447. Prime factorization of 38447 in exponential form is:
38447 = 384471
Prime Factorization of 38461
Prime factors of 38461 are 38461. Prime factorization of 38461 in exponential form is:
38461 = 384611
Now multiplying the highest exponent prime factors to calculate the LCM of 38447 and 38461.
LCM(38447,38461) = 384471 × 384611
LCM(38447,38461) = 1478710067
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