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What is the Least Common Multiple of 46878 and 46885?

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 46878 and 46885 is 2197875030.

LCM(46878,46885) = 2197875030

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Least Common Multiple of 46878 and 46885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46878 and 46885, than apply into the LCM equation.

GCF(46878,46885) = 1
LCM(46878,46885) = ( 46878 × 46885) / 1
LCM(46878,46885) = 2197875030 / 1
LCM(46878,46885) = 2197875030

Least Common Multiple (LCM) of 46878 and 46885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46878 and 46885. First we will calculate the prime factors of 46878 and 46885.

Prime Factorization of 46878

Prime factors of 46878 are 2, 3, 13, 601. Prime factorization of 46878 in exponential form is:

46878 = 21 × 31 × 131 × 6011

Prime Factorization of 46885

Prime factors of 46885 are 5, 9377. Prime factorization of 46885 in exponential form is:

46885 = 51 × 93771

Now multiplying the highest exponent prime factors to calculate the LCM of 46878 and 46885.

LCM(46878,46885) = 21 × 31 × 131 × 6011 × 51 × 93771
LCM(46878,46885) = 2197875030