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What is the Least Common Multiple of 46856 and 46862?

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 46856 and 46862 is 1097882936.

LCM(46856,46862) = 1097882936

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Least Common Multiple of 46856 and 46862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46856 and 46862, than apply into the LCM equation.

GCF(46856,46862) = 2
LCM(46856,46862) = ( 46856 × 46862) / 2
LCM(46856,46862) = 2195765872 / 2
LCM(46856,46862) = 1097882936

Least Common Multiple (LCM) of 46856 and 46862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46856 and 46862. First we will calculate the prime factors of 46856 and 46862.

Prime Factorization of 46856

Prime factors of 46856 are 2, 5857. Prime factorization of 46856 in exponential form is:

46856 = 23 × 58571

Prime Factorization of 46862

Prime factors of 46862 are 2, 23431. Prime factorization of 46862 in exponential form is:

46862 = 21 × 234311

Now multiplying the highest exponent prime factors to calculate the LCM of 46856 and 46862.

LCM(46856,46862) = 23 × 58571 × 234311
LCM(46856,46862) = 1097882936