What is the Least Common Multiple of 46867 and 46871?
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 46867 and 46871 is 2196703157.
LCM(46867,46871) = 2196703157
Least Common Multiple of 46867 and 46871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46867 and 46871, than apply into the LCM equation.
GCF(46867,46871) = 1
LCM(46867,46871) = ( 46867 × 46871) / 1
LCM(46867,46871) = 2196703157 / 1
LCM(46867,46871) = 2196703157
Least Common Multiple (LCM) of 46867 and 46871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46867 and 46871. First we will calculate the prime factors of 46867 and 46871.
Prime Factorization of 46867
Prime factors of 46867 are 46867. Prime factorization of 46867 in exponential form is:
46867 = 468671
Prime Factorization of 46871
Prime factors of 46871 are 11, 4261. Prime factorization of 46871 in exponential form is:
46871 = 111 × 42611
Now multiplying the highest exponent prime factors to calculate the LCM of 46867 and 46871.
LCM(46867,46871) = 468671 × 111 × 42611
LCM(46867,46871) = 2196703157
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