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What is the Least Common Multiple of 46519 and 46523?

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 46519 and 46523 is 2164203437.

LCM(46519,46523) = 2164203437

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Least Common Multiple of 46519 and 46523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46519 and 46523, than apply into the LCM equation.

GCF(46519,46523) = 1
LCM(46519,46523) = ( 46519 × 46523) / 1
LCM(46519,46523) = 2164203437 / 1
LCM(46519,46523) = 2164203437

Least Common Multiple (LCM) of 46519 and 46523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46519 and 46523. First we will calculate the prime factors of 46519 and 46523.

Prime Factorization of 46519

Prime factors of 46519 are 11, 4229. Prime factorization of 46519 in exponential form is:

46519 = 111 × 42291

Prime Factorization of 46523

Prime factors of 46523 are 46523. Prime factorization of 46523 in exponential form is:

46523 = 465231

Now multiplying the highest exponent prime factors to calculate the LCM of 46519 and 46523.

LCM(46519,46523) = 111 × 42291 × 465231
LCM(46519,46523) = 2164203437