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What is the Least Common Multiple of 46634 and 46653?

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 46634 and 46653 is 2175616002.

LCM(46634,46653) = 2175616002

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Least Common Multiple of 46634 and 46653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46634 and 46653, than apply into the LCM equation.

GCF(46634,46653) = 1
LCM(46634,46653) = ( 46634 × 46653) / 1
LCM(46634,46653) = 2175616002 / 1
LCM(46634,46653) = 2175616002

Least Common Multiple (LCM) of 46634 and 46653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46634 and 46653. First we will calculate the prime factors of 46634 and 46653.

Prime Factorization of 46634

Prime factors of 46634 are 2, 7, 3331. Prime factorization of 46634 in exponential form is:

46634 = 21 × 71 × 33311

Prime Factorization of 46653

Prime factors of 46653 are 3, 15551. Prime factorization of 46653 in exponential form is:

46653 = 31 × 155511

Now multiplying the highest exponent prime factors to calculate the LCM of 46634 and 46653.

LCM(46634,46653) = 21 × 71 × 33311 × 31 × 155511
LCM(46634,46653) = 2175616002