What is the Least Common Multiple of 57984 and 57999?
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 57984 and 57999 is 1121004672.
LCM(57984,57999) = 1121004672
Least Common Multiple of 57984 and 57999 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57984 and 57999, than apply into the LCM equation.
GCF(57984,57999) = 3
LCM(57984,57999) = ( 57984 × 57999) / 3
LCM(57984,57999) = 3363014016 / 3
LCM(57984,57999) = 1121004672
Least Common Multiple (LCM) of 57984 and 57999 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57984 and 57999. First we will calculate the prime factors of 57984 and 57999.
Prime Factorization of 57984
Prime factors of 57984 are 2, 3, 151. Prime factorization of 57984 in exponential form is:
57984 = 27 × 31 × 1511
Prime Factorization of 57999
Prime factors of 57999 are 3, 19333. Prime factorization of 57999 in exponential form is:
57999 = 31 × 193331
Now multiplying the highest exponent prime factors to calculate the LCM of 57984 and 57999.
LCM(57984,57999) = 27 × 31 × 1511 × 193331
LCM(57984,57999) = 1121004672
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