What is the Least Common Multiple of 46156 and 46163?
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 46156 and 46163 is 2130699428.
LCM(46156,46163) = 2130699428
Least Common Multiple of 46156 and 46163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46156 and 46163, than apply into the LCM equation.
GCF(46156,46163) = 1
LCM(46156,46163) = ( 46156 × 46163) / 1
LCM(46156,46163) = 2130699428 / 1
LCM(46156,46163) = 2130699428
Least Common Multiple (LCM) of 46156 and 46163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46156 and 46163. First we will calculate the prime factors of 46156 and 46163.
Prime Factorization of 46156
Prime factors of 46156 are 2, 11, 1049. Prime factorization of 46156 in exponential form is:
46156 = 22 × 111 × 10491
Prime Factorization of 46163
Prime factors of 46163 are 13, 53, 67. Prime factorization of 46163 in exponential form is:
46163 = 131 × 531 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 46156 and 46163.
LCM(46156,46163) = 22 × 111 × 10491 × 131 × 531 × 671
LCM(46156,46163) = 2130699428
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