What is the Least Common Multiple of 57998 and 58004?
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 57998 and 58004 is 1682057996.
LCM(57998,58004) = 1682057996
Least Common Multiple of 57998 and 58004 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57998 and 58004, than apply into the LCM equation.
GCF(57998,58004) = 2
LCM(57998,58004) = ( 57998 × 58004) / 2
LCM(57998,58004) = 3364115992 / 2
LCM(57998,58004) = 1682057996
Least Common Multiple (LCM) of 57998 and 58004 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57998 and 58004. First we will calculate the prime factors of 57998 and 58004.
Prime Factorization of 57998
Prime factors of 57998 are 2, 47, 617. Prime factorization of 57998 in exponential form is:
57998 = 21 × 471 × 6171
Prime Factorization of 58004
Prime factors of 58004 are 2, 17, 853. Prime factorization of 58004 in exponential form is:
58004 = 22 × 171 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 57998 and 58004.
LCM(57998,58004) = 22 × 471 × 6171 × 171 × 8531
LCM(57998,58004) = 1682057996
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