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What is the Least Common Multiple of 46757 and 46765?

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 46757 and 46765 is 2186591105.

LCM(46757,46765) = 2186591105

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Least Common Multiple of 46757 and 46765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46757 and 46765, than apply into the LCM equation.

GCF(46757,46765) = 1
LCM(46757,46765) = ( 46757 × 46765) / 1
LCM(46757,46765) = 2186591105 / 1
LCM(46757,46765) = 2186591105

Least Common Multiple (LCM) of 46757 and 46765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46757 and 46765. First we will calculate the prime factors of 46757 and 46765.

Prime Factorization of 46757

Prime factors of 46757 are 46757. Prime factorization of 46757 in exponential form is:

46757 = 467571

Prime Factorization of 46765

Prime factors of 46765 are 5, 47, 199. Prime factorization of 46765 in exponential form is:

46765 = 51 × 471 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 46757 and 46765.

LCM(46757,46765) = 467571 × 51 × 471 × 1991
LCM(46757,46765) = 2186591105