What is the Least Common Multiple of 46831 and 46843?
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 46831 and 46843 is 2193704533.
LCM(46831,46843) = 2193704533
Least Common Multiple of 46831 and 46843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46831 and 46843, than apply into the LCM equation.
GCF(46831,46843) = 1
LCM(46831,46843) = ( 46831 × 46843) / 1
LCM(46831,46843) = 2193704533 / 1
LCM(46831,46843) = 2193704533
Least Common Multiple (LCM) of 46831 and 46843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46831 and 46843. First we will calculate the prime factors of 46831 and 46843.
Prime Factorization of 46831
Prime factors of 46831 are 46831. Prime factorization of 46831 in exponential form is:
46831 = 468311
Prime Factorization of 46843
Prime factors of 46843 are 139, 337. Prime factorization of 46843 in exponential form is:
46843 = 1391 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 46831 and 46843.
LCM(46831,46843) = 468311 × 1391 × 3371
LCM(46831,46843) = 2193704533
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