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What is the Least Common Multiple of 46163 and 46182?

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 46163 and 46182 is 2131899666.

LCM(46163,46182) = 2131899666

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Least Common Multiple of 46163 and 46182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46163 and 46182, than apply into the LCM equation.

GCF(46163,46182) = 1
LCM(46163,46182) = ( 46163 × 46182) / 1
LCM(46163,46182) = 2131899666 / 1
LCM(46163,46182) = 2131899666

Least Common Multiple (LCM) of 46163 and 46182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46163 and 46182. First we will calculate the prime factors of 46163 and 46182.

Prime Factorization of 46163

Prime factors of 46163 are 13, 53, 67. Prime factorization of 46163 in exponential form is:

46163 = 131 × 531 × 671

Prime Factorization of 46182

Prime factors of 46182 are 2, 3, 43, 179. Prime factorization of 46182 in exponential form is:

46182 = 21 × 31 × 431 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 46163 and 46182.

LCM(46163,46182) = 131 × 531 × 671 × 21 × 31 × 431 × 1791
LCM(46163,46182) = 2131899666