What is the Least Common Multiple of 38363 and 38379?
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 38363 and 38379 is 1472333577.
LCM(38363,38379) = 1472333577
Least Common Multiple of 38363 and 38379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38363 and 38379, than apply into the LCM equation.
GCF(38363,38379) = 1
LCM(38363,38379) = ( 38363 × 38379) / 1
LCM(38363,38379) = 1472333577 / 1
LCM(38363,38379) = 1472333577
Least Common Multiple (LCM) of 38363 and 38379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38363 and 38379. First we will calculate the prime factors of 38363 and 38379.
Prime Factorization of 38363
Prime factors of 38363 are 13, 227. Prime factorization of 38363 in exponential form is:
38363 = 132 × 2271
Prime Factorization of 38379
Prime factors of 38379 are 3, 11, 1163. Prime factorization of 38379 in exponential form is:
38379 = 31 × 111 × 11631
Now multiplying the highest exponent prime factors to calculate the LCM of 38363 and 38379.
LCM(38363,38379) = 132 × 2271 × 31 × 111 × 11631
LCM(38363,38379) = 1472333577
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