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What is the Least Common Multiple of 46119 and 46132?

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 46119 and 46132 is 2127561708.

LCM(46119,46132) = 2127561708

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Least Common Multiple of 46119 and 46132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46119 and 46132, than apply into the LCM equation.

GCF(46119,46132) = 1
LCM(46119,46132) = ( 46119 × 46132) / 1
LCM(46119,46132) = 2127561708 / 1
LCM(46119,46132) = 2127561708

Least Common Multiple (LCM) of 46119 and 46132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46119 and 46132. First we will calculate the prime factors of 46119 and 46132.

Prime Factorization of 46119

Prime factors of 46119 are 3, 15373. Prime factorization of 46119 in exponential form is:

46119 = 31 × 153731

Prime Factorization of 46132

Prime factors of 46132 are 2, 19, 607. Prime factorization of 46132 in exponential form is:

46132 = 22 × 191 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 46119 and 46132.

LCM(46119,46132) = 31 × 153731 × 22 × 191 × 6071
LCM(46119,46132) = 2127561708