What is the Least Common Multiple of 38863 and 38867?
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 38863 and 38867 is 1510488221.
LCM(38863,38867) = 1510488221
Least Common Multiple of 38863 and 38867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38863 and 38867, than apply into the LCM equation.
GCF(38863,38867) = 1
LCM(38863,38867) = ( 38863 × 38867) / 1
LCM(38863,38867) = 1510488221 / 1
LCM(38863,38867) = 1510488221
Least Common Multiple (LCM) of 38863 and 38867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38863 and 38867. First we will calculate the prime factors of 38863 and 38867.
Prime Factorization of 38863
Prime factors of 38863 are 11, 3533. Prime factorization of 38863 in exponential form is:
38863 = 111 × 35331
Prime Factorization of 38867
Prime factors of 38867 are 38867. Prime factorization of 38867 in exponential form is:
38867 = 388671
Now multiplying the highest exponent prime factors to calculate the LCM of 38863 and 38867.
LCM(38863,38867) = 111 × 35331 × 388671
LCM(38863,38867) = 1510488221
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