What is the Least Common Multiple of 58172 and 58179?
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 58172 and 58179 is 3384388788.
LCM(58172,58179) = 3384388788
Least Common Multiple of 58172 and 58179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58172 and 58179, than apply into the LCM equation.
GCF(58172,58179) = 1
LCM(58172,58179) = ( 58172 × 58179) / 1
LCM(58172,58179) = 3384388788 / 1
LCM(58172,58179) = 3384388788
Least Common Multiple (LCM) of 58172 and 58179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58172 and 58179. First we will calculate the prime factors of 58172 and 58179.
Prime Factorization of 58172
Prime factors of 58172 are 2, 14543. Prime factorization of 58172 in exponential form is:
58172 = 22 × 145431
Prime Factorization of 58179
Prime factors of 58179 are 3, 11, 41, 43. Prime factorization of 58179 in exponential form is:
58179 = 31 × 111 × 411 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 58172 and 58179.
LCM(58172,58179) = 22 × 145431 × 31 × 111 × 411 × 431
LCM(58172,58179) = 3384388788
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