What is the Least Common Multiple of 21014 and 21031?
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 21014 and 21031 is 441945434.
LCM(21014,21031) = 441945434
Least Common Multiple of 21014 and 21031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21014 and 21031, than apply into the LCM equation.
GCF(21014,21031) = 1
LCM(21014,21031) = ( 21014 × 21031) / 1
LCM(21014,21031) = 441945434 / 1
LCM(21014,21031) = 441945434
Least Common Multiple (LCM) of 21014 and 21031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21014 and 21031. First we will calculate the prime factors of 21014 and 21031.
Prime Factorization of 21014
Prime factors of 21014 are 2, 7, 19, 79. Prime factorization of 21014 in exponential form is:
21014 = 21 × 71 × 191 × 791
Prime Factorization of 21031
Prime factors of 21031 are 21031. Prime factorization of 21031 in exponential form is:
21031 = 210311
Now multiplying the highest exponent prime factors to calculate the LCM of 21014 and 21031.
LCM(21014,21031) = 21 × 71 × 191 × 791 × 210311
LCM(21014,21031) = 441945434
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