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What is the Least Common Multiple of 46162 and 46178?

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 46162 and 46178 is 1065834418.

LCM(46162,46178) = 1065834418

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Least Common Multiple of 46162 and 46178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46162 and 46178, than apply into the LCM equation.

GCF(46162,46178) = 2
LCM(46162,46178) = ( 46162 × 46178) / 2
LCM(46162,46178) = 2131668836 / 2
LCM(46162,46178) = 1065834418

Least Common Multiple (LCM) of 46162 and 46178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46162 and 46178. First we will calculate the prime factors of 46162 and 46178.

Prime Factorization of 46162

Prime factors of 46162 are 2, 23081. Prime factorization of 46162 in exponential form is:

46162 = 21 × 230811

Prime Factorization of 46178

Prime factors of 46178 are 2, 11, 2099. Prime factorization of 46178 in exponential form is:

46178 = 21 × 111 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 46162 and 46178.

LCM(46162,46178) = 21 × 230811 × 111 × 20991
LCM(46162,46178) = 1065834418