What is the Least Common Multiple of 20984 and 20999?
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 20984 and 20999 is 440643016.
LCM(20984,20999) = 440643016
Least Common Multiple of 20984 and 20999 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20984 and 20999, than apply into the LCM equation.
GCF(20984,20999) = 1
LCM(20984,20999) = ( 20984 × 20999) / 1
LCM(20984,20999) = 440643016 / 1
LCM(20984,20999) = 440643016
Least Common Multiple (LCM) of 20984 and 20999 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20984 and 20999. First we will calculate the prime factors of 20984 and 20999.
Prime Factorization of 20984
Prime factors of 20984 are 2, 43, 61. Prime factorization of 20984 in exponential form is:
20984 = 23 × 431 × 611
Prime Factorization of 20999
Prime factors of 20999 are 11, 23, 83. Prime factorization of 20999 in exponential form is:
20999 = 111 × 231 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 20984 and 20999.
LCM(20984,20999) = 23 × 431 × 611 × 111 × 231 × 831
LCM(20984,20999) = 440643016
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