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What is the Least Common Multiple of 46817 and 46837?

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 46817 and 46837 is 2192767829.

LCM(46817,46837) = 2192767829

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Least Common Multiple of 46817 and 46837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46817 and 46837, than apply into the LCM equation.

GCF(46817,46837) = 1
LCM(46817,46837) = ( 46817 × 46837) / 1
LCM(46817,46837) = 2192767829 / 1
LCM(46817,46837) = 2192767829

Least Common Multiple (LCM) of 46817 and 46837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46817 and 46837. First we will calculate the prime factors of 46817 and 46837.

Prime Factorization of 46817

Prime factors of 46817 are 46817. Prime factorization of 46817 in exponential form is:

46817 = 468171

Prime Factorization of 46837

Prime factors of 46837 are 7, 6691. Prime factorization of 46837 in exponential form is:

46837 = 71 × 66911

Now multiplying the highest exponent prime factors to calculate the LCM of 46817 and 46837.

LCM(46817,46837) = 468171 × 71 × 66911
LCM(46817,46837) = 2192767829