What is the Least Common Multiple of 57839 and 57847?
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 57839 and 57847 is 3345812633.
LCM(57839,57847) = 3345812633
Least Common Multiple of 57839 and 57847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57839 and 57847, than apply into the LCM equation.
GCF(57839,57847) = 1
LCM(57839,57847) = ( 57839 × 57847) / 1
LCM(57839,57847) = 3345812633 / 1
LCM(57839,57847) = 3345812633
Least Common Multiple (LCM) of 57839 and 57847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57839 and 57847. First we will calculate the prime factors of 57839 and 57847.
Prime Factorization of 57839
Prime factors of 57839 are 57839. Prime factorization of 57839 in exponential form is:
57839 = 578391
Prime Factorization of 57847
Prime factors of 57847 are 57847. Prime factorization of 57847 in exponential form is:
57847 = 578471
Now multiplying the highest exponent prime factors to calculate the LCM of 57839 and 57847.
LCM(57839,57847) = 578391 × 578471
LCM(57839,57847) = 3345812633
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