What is the Least Common Multiple of 38544 and 38563?
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 38544 and 38563 is 1486372272.
LCM(38544,38563) = 1486372272
Least Common Multiple of 38544 and 38563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38544 and 38563, than apply into the LCM equation.
GCF(38544,38563) = 1
LCM(38544,38563) = ( 38544 × 38563) / 1
LCM(38544,38563) = 1486372272 / 1
LCM(38544,38563) = 1486372272
Least Common Multiple (LCM) of 38544 and 38563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38544 and 38563. First we will calculate the prime factors of 38544 and 38563.
Prime Factorization of 38544
Prime factors of 38544 are 2, 3, 11, 73. Prime factorization of 38544 in exponential form is:
38544 = 24 × 31 × 111 × 731
Prime Factorization of 38563
Prime factors of 38563 are 7, 787. Prime factorization of 38563 in exponential form is:
38563 = 72 × 7871
Now multiplying the highest exponent prime factors to calculate the LCM of 38544 and 38563.
LCM(38544,38563) = 24 × 31 × 111 × 731 × 72 × 7871
LCM(38544,38563) = 1486372272
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