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What is the Least Common Multiple of 46546 and 46566?

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 46546 and 46566 is 1083730518.

LCM(46546,46566) = 1083730518

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Least Common Multiple of 46546 and 46566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46546 and 46566, than apply into the LCM equation.

GCF(46546,46566) = 2
LCM(46546,46566) = ( 46546 × 46566) / 2
LCM(46546,46566) = 2167461036 / 2
LCM(46546,46566) = 1083730518

Least Common Multiple (LCM) of 46546 and 46566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46546 and 46566. First we will calculate the prime factors of 46546 and 46566.

Prime Factorization of 46546

Prime factors of 46546 are 2, 17, 37. Prime factorization of 46546 in exponential form is:

46546 = 21 × 171 × 372

Prime Factorization of 46566

Prime factors of 46566 are 2, 3, 13, 199. Prime factorization of 46566 in exponential form is:

46566 = 21 × 32 × 131 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 46546 and 46566.

LCM(46546,46566) = 21 × 171 × 372 × 32 × 131 × 1991
LCM(46546,46566) = 1083730518