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What is the Least Common Multiple of 46496 and 46509?

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 46496 and 46509 is 2162482464.

LCM(46496,46509) = 2162482464

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Least Common Multiple of 46496 and 46509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46496 and 46509, than apply into the LCM equation.

GCF(46496,46509) = 1
LCM(46496,46509) = ( 46496 × 46509) / 1
LCM(46496,46509) = 2162482464 / 1
LCM(46496,46509) = 2162482464

Least Common Multiple (LCM) of 46496 and 46509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46496 and 46509. First we will calculate the prime factors of 46496 and 46509.

Prime Factorization of 46496

Prime factors of 46496 are 2, 1453. Prime factorization of 46496 in exponential form is:

46496 = 25 × 14531

Prime Factorization of 46509

Prime factors of 46509 are 3, 37, 419. Prime factorization of 46509 in exponential form is:

46509 = 31 × 371 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 46496 and 46509.

LCM(46496,46509) = 25 × 14531 × 31 × 371 × 4191
LCM(46496,46509) = 2162482464