What is the Least Common Multiple of 38866 and 38886?
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 38866 and 38886 is 755671638.
LCM(38866,38886) = 755671638
Least Common Multiple of 38866 and 38886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38866 and 38886, than apply into the LCM equation.
GCF(38866,38886) = 2
LCM(38866,38886) = ( 38866 × 38886) / 2
LCM(38866,38886) = 1511343276 / 2
LCM(38866,38886) = 755671638
Least Common Multiple (LCM) of 38866 and 38886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38866 and 38886. First we will calculate the prime factors of 38866 and 38886.
Prime Factorization of 38866
Prime factors of 38866 are 2, 19433. Prime factorization of 38866 in exponential form is:
38866 = 21 × 194331
Prime Factorization of 38886
Prime factors of 38886 are 2, 3, 6481. Prime factorization of 38886 in exponential form is:
38886 = 21 × 31 × 64811
Now multiplying the highest exponent prime factors to calculate the LCM of 38866 and 38886.
LCM(38866,38886) = 21 × 194331 × 31 × 64811
LCM(38866,38886) = 755671638
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