What is the Least Common Multiple of 23977 and 23981?
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 23977 and 23981 is 574992437.
LCM(23977,23981) = 574992437
Least Common Multiple of 23977 and 23981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23977 and 23981, than apply into the LCM equation.
GCF(23977,23981) = 1
LCM(23977,23981) = ( 23977 × 23981) / 1
LCM(23977,23981) = 574992437 / 1
LCM(23977,23981) = 574992437
Least Common Multiple (LCM) of 23977 and 23981 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23977 and 23981. First we will calculate the prime factors of 23977 and 23981.
Prime Factorization of 23977
Prime factors of 23977 are 23977. Prime factorization of 23977 in exponential form is:
23977 = 239771
Prime Factorization of 23981
Prime factors of 23981 are 23981. Prime factorization of 23981 in exponential form is:
23981 = 239811
Now multiplying the highest exponent prime factors to calculate the LCM of 23977 and 23981.
LCM(23977,23981) = 239771 × 239811
LCM(23977,23981) = 574992437
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