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What is the Least Common Multiple of 46699 and 46715?

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 46699 and 46715 is 2181543785.

LCM(46699,46715) = 2181543785

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Least Common Multiple of 46699 and 46715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46699 and 46715, than apply into the LCM equation.

GCF(46699,46715) = 1
LCM(46699,46715) = ( 46699 × 46715) / 1
LCM(46699,46715) = 2181543785 / 1
LCM(46699,46715) = 2181543785

Least Common Multiple (LCM) of 46699 and 46715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46699 and 46715. First we will calculate the prime factors of 46699 and 46715.

Prime Factorization of 46699

Prime factors of 46699 are 17, 41, 67. Prime factorization of 46699 in exponential form is:

46699 = 171 × 411 × 671

Prime Factorization of 46715

Prime factors of 46715 are 5, 9343. Prime factorization of 46715 in exponential form is:

46715 = 51 × 93431

Now multiplying the highest exponent prime factors to calculate the LCM of 46699 and 46715.

LCM(46699,46715) = 171 × 411 × 671 × 51 × 93431
LCM(46699,46715) = 2181543785