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What is the Least Common Multiple of 46534 and 46539?

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 46534 and 46539 is 2165645826.

LCM(46534,46539) = 2165645826

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Least Common Multiple of 46534 and 46539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46534 and 46539, than apply into the LCM equation.

GCF(46534,46539) = 1
LCM(46534,46539) = ( 46534 × 46539) / 1
LCM(46534,46539) = 2165645826 / 1
LCM(46534,46539) = 2165645826

Least Common Multiple (LCM) of 46534 and 46539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46534 and 46539. First we will calculate the prime factors of 46534 and 46539.

Prime Factorization of 46534

Prime factors of 46534 are 2, 53, 439. Prime factorization of 46534 in exponential form is:

46534 = 21 × 531 × 4391

Prime Factorization of 46539

Prime factors of 46539 are 3, 5171. Prime factorization of 46539 in exponential form is:

46539 = 32 × 51711

Now multiplying the highest exponent prime factors to calculate the LCM of 46534 and 46539.

LCM(46534,46539) = 21 × 531 × 4391 × 32 × 51711
LCM(46534,46539) = 2165645826