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What is the Least Common Multiple of 46783 and 46799?

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 46783 and 46799 is 2189397617.

LCM(46783,46799) = 2189397617

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Least Common Multiple of 46783 and 46799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46783 and 46799, than apply into the LCM equation.

GCF(46783,46799) = 1
LCM(46783,46799) = ( 46783 × 46799) / 1
LCM(46783,46799) = 2189397617 / 1
LCM(46783,46799) = 2189397617

Least Common Multiple (LCM) of 46783 and 46799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46783 and 46799. First we will calculate the prime factors of 46783 and 46799.

Prime Factorization of 46783

Prime factors of 46783 are 11, 4253. Prime factorization of 46783 in exponential form is:

46783 = 111 × 42531

Prime Factorization of 46799

Prime factors of 46799 are 53, 883. Prime factorization of 46799 in exponential form is:

46799 = 531 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 46783 and 46799.

LCM(46783,46799) = 111 × 42531 × 531 × 8831
LCM(46783,46799) = 2189397617