What is the Least Common Multiple of 19689 and 19708?
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 19689 and 19708 is 388030812.
LCM(19689,19708) = 388030812
Least Common Multiple of 19689 and 19708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19689 and 19708, than apply into the LCM equation.
GCF(19689,19708) = 1
LCM(19689,19708) = ( 19689 × 19708) / 1
LCM(19689,19708) = 388030812 / 1
LCM(19689,19708) = 388030812
Least Common Multiple (LCM) of 19689 and 19708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19689 and 19708. First we will calculate the prime factors of 19689 and 19708.
Prime Factorization of 19689
Prime factors of 19689 are 3, 6563. Prime factorization of 19689 in exponential form is:
19689 = 31 × 65631
Prime Factorization of 19708
Prime factors of 19708 are 2, 13, 379. Prime factorization of 19708 in exponential form is:
19708 = 22 × 131 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 19689 and 19708.
LCM(19689,19708) = 31 × 65631 × 22 × 131 × 3791
LCM(19689,19708) = 388030812
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