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What is the Least Common Multiple of 46836 and 46853?

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 46836 and 46853 is 2194407108.

LCM(46836,46853) = 2194407108

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Least Common Multiple of 46836 and 46853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46836 and 46853, than apply into the LCM equation.

GCF(46836,46853) = 1
LCM(46836,46853) = ( 46836 × 46853) / 1
LCM(46836,46853) = 2194407108 / 1
LCM(46836,46853) = 2194407108

Least Common Multiple (LCM) of 46836 and 46853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46836 and 46853. First we will calculate the prime factors of 46836 and 46853.

Prime Factorization of 46836

Prime factors of 46836 are 2, 3, 1301. Prime factorization of 46836 in exponential form is:

46836 = 22 × 32 × 13011

Prime Factorization of 46853

Prime factors of 46853 are 46853. Prime factorization of 46853 in exponential form is:

46853 = 468531

Now multiplying the highest exponent prime factors to calculate the LCM of 46836 and 46853.

LCM(46836,46853) = 22 × 32 × 13011 × 468531
LCM(46836,46853) = 2194407108