What is the Least Common Multiple of 23958 and 23964?
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 23958 and 23964 is 95688252.
LCM(23958,23964) = 95688252
Least Common Multiple of 23958 and 23964 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23958 and 23964, than apply into the LCM equation.
GCF(23958,23964) = 6
LCM(23958,23964) = ( 23958 × 23964) / 6
LCM(23958,23964) = 574129512 / 6
LCM(23958,23964) = 95688252
Least Common Multiple (LCM) of 23958 and 23964 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23958 and 23964. First we will calculate the prime factors of 23958 and 23964.
Prime Factorization of 23958
Prime factors of 23958 are 2, 3, 11. Prime factorization of 23958 in exponential form is:
23958 = 21 × 32 × 113
Prime Factorization of 23964
Prime factors of 23964 are 2, 3, 1997. Prime factorization of 23964 in exponential form is:
23964 = 22 × 31 × 19971
Now multiplying the highest exponent prime factors to calculate the LCM of 23958 and 23964.
LCM(23958,23964) = 22 × 32 × 113 × 19971
LCM(23958,23964) = 95688252
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