What is the Least Common Multiple of 23964 and 23969?
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 23964 and 23969 is 574393116.
LCM(23964,23969) = 574393116
Least Common Multiple of 23964 and 23969 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23964 and 23969, than apply into the LCM equation.
GCF(23964,23969) = 1
LCM(23964,23969) = ( 23964 × 23969) / 1
LCM(23964,23969) = 574393116 / 1
LCM(23964,23969) = 574393116
Least Common Multiple (LCM) of 23964 and 23969 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23964 and 23969. First we will calculate the prime factors of 23964 and 23969.
Prime Factorization of 23964
Prime factors of 23964 are 2, 3, 1997. Prime factorization of 23964 in exponential form is:
23964 = 22 × 31 × 19971
Prime Factorization of 23969
Prime factors of 23969 are 11, 2179. Prime factorization of 23969 in exponential form is:
23969 = 111 × 21791
Now multiplying the highest exponent prime factors to calculate the LCM of 23964 and 23969.
LCM(23964,23969) = 22 × 31 × 19971 × 111 × 21791
LCM(23964,23969) = 574393116
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