What is the Least Common Multiple of 38683 and 38694?
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 38683 and 38694 is 1496800002.
LCM(38683,38694) = 1496800002
Least Common Multiple of 38683 and 38694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38683 and 38694, than apply into the LCM equation.
GCF(38683,38694) = 1
LCM(38683,38694) = ( 38683 × 38694) / 1
LCM(38683,38694) = 1496800002 / 1
LCM(38683,38694) = 1496800002
Least Common Multiple (LCM) of 38683 and 38694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38683 and 38694. First we will calculate the prime factors of 38683 and 38694.
Prime Factorization of 38683
Prime factors of 38683 are 101, 383. Prime factorization of 38683 in exponential form is:
38683 = 1011 × 3831
Prime Factorization of 38694
Prime factors of 38694 are 2, 3, 6449. Prime factorization of 38694 in exponential form is:
38694 = 21 × 31 × 64491
Now multiplying the highest exponent prime factors to calculate the LCM of 38683 and 38694.
LCM(38683,38694) = 1011 × 3831 × 21 × 31 × 64491
LCM(38683,38694) = 1496800002
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