What is the Least Common Multiple of 38787 and 38798?
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 38787 and 38798 is 1504858026.
LCM(38787,38798) = 1504858026
Least Common Multiple of 38787 and 38798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38787 and 38798, than apply into the LCM equation.
GCF(38787,38798) = 1
LCM(38787,38798) = ( 38787 × 38798) / 1
LCM(38787,38798) = 1504858026 / 1
LCM(38787,38798) = 1504858026
Least Common Multiple (LCM) of 38787 and 38798 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38787 and 38798. First we will calculate the prime factors of 38787 and 38798.
Prime Factorization of 38787
Prime factors of 38787 are 3, 7, 1847. Prime factorization of 38787 in exponential form is:
38787 = 31 × 71 × 18471
Prime Factorization of 38798
Prime factors of 38798 are 2, 19, 1021. Prime factorization of 38798 in exponential form is:
38798 = 21 × 191 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 38787 and 38798.
LCM(38787,38798) = 31 × 71 × 18471 × 21 × 191 × 10211
LCM(38787,38798) = 1504858026
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