What is the Least Common Multiple of 38820 and 38838?
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 38820 and 38838 is 251281860.
LCM(38820,38838) = 251281860
Least Common Multiple of 38820 and 38838 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38820 and 38838, than apply into the LCM equation.
GCF(38820,38838) = 6
LCM(38820,38838) = ( 38820 × 38838) / 6
LCM(38820,38838) = 1507691160 / 6
LCM(38820,38838) = 251281860
Least Common Multiple (LCM) of 38820 and 38838 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38820 and 38838. First we will calculate the prime factors of 38820 and 38838.
Prime Factorization of 38820
Prime factors of 38820 are 2, 3, 5, 647. Prime factorization of 38820 in exponential form is:
38820 = 22 × 31 × 51 × 6471
Prime Factorization of 38838
Prime factors of 38838 are 2, 3, 6473. Prime factorization of 38838 in exponential form is:
38838 = 21 × 31 × 64731
Now multiplying the highest exponent prime factors to calculate the LCM of 38820 and 38838.
LCM(38820,38838) = 22 × 31 × 51 × 6471 × 64731
LCM(38820,38838) = 251281860
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