What is the Least Common Multiple of 38838 and 38858?
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 38838 and 38858 is 754583502.
LCM(38838,38858) = 754583502
Least Common Multiple of 38838 and 38858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38838 and 38858, than apply into the LCM equation.
GCF(38838,38858) = 2
LCM(38838,38858) = ( 38838 × 38858) / 2
LCM(38838,38858) = 1509167004 / 2
LCM(38838,38858) = 754583502
Least Common Multiple (LCM) of 38838 and 38858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38838 and 38858. First we will calculate the prime factors of 38838 and 38858.
Prime Factorization of 38838
Prime factors of 38838 are 2, 3, 6473. Prime factorization of 38838 in exponential form is:
38838 = 21 × 31 × 64731
Prime Factorization of 38858
Prime factors of 38858 are 2, 19429. Prime factorization of 38858 in exponential form is:
38858 = 21 × 194291
Now multiplying the highest exponent prime factors to calculate the LCM of 38838 and 38858.
LCM(38838,38858) = 21 × 31 × 64731 × 194291
LCM(38838,38858) = 754583502
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