What is the Least Common Multiple of 20988 and 21006?
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 20988 and 21006 is 24492996.
LCM(20988,21006) = 24492996
Least Common Multiple of 20988 and 21006 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20988 and 21006, than apply into the LCM equation.
GCF(20988,21006) = 18
LCM(20988,21006) = ( 20988 × 21006) / 18
LCM(20988,21006) = 440873928 / 18
LCM(20988,21006) = 24492996
Least Common Multiple (LCM) of 20988 and 21006 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20988 and 21006. First we will calculate the prime factors of 20988 and 21006.
Prime Factorization of 20988
Prime factors of 20988 are 2, 3, 11, 53. Prime factorization of 20988 in exponential form is:
20988 = 22 × 32 × 111 × 531
Prime Factorization of 21006
Prime factors of 21006 are 2, 3, 389. Prime factorization of 21006 in exponential form is:
21006 = 21 × 33 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 20988 and 21006.
LCM(20988,21006) = 22 × 33 × 111 × 531 × 3891
LCM(20988,21006) = 24492996
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