What is the Least Common Multiple of 20973 and 20991?
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 20973 and 20991 is 146748081.
LCM(20973,20991) = 146748081
Least Common Multiple of 20973 and 20991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20973 and 20991, than apply into the LCM equation.
GCF(20973,20991) = 3
LCM(20973,20991) = ( 20973 × 20991) / 3
LCM(20973,20991) = 440244243 / 3
LCM(20973,20991) = 146748081
Least Common Multiple (LCM) of 20973 and 20991 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20973 and 20991. First we will calculate the prime factors of 20973 and 20991.
Prime Factorization of 20973
Prime factors of 20973 are 3, 6991. Prime factorization of 20973 in exponential form is:
20973 = 31 × 69911
Prime Factorization of 20991
Prime factors of 20991 are 3, 6997. Prime factorization of 20991 in exponential form is:
20991 = 31 × 69971
Now multiplying the highest exponent prime factors to calculate the LCM of 20973 and 20991.
LCM(20973,20991) = 31 × 69911 × 69971
LCM(20973,20991) = 146748081
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