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What is the Least Common Multiple of 46447 and 46458?

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 46447 and 46458 is 2157834726.

LCM(46447,46458) = 2157834726

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Least Common Multiple of 46447 and 46458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46447 and 46458, than apply into the LCM equation.

GCF(46447,46458) = 1
LCM(46447,46458) = ( 46447 × 46458) / 1
LCM(46447,46458) = 2157834726 / 1
LCM(46447,46458) = 2157834726

Least Common Multiple (LCM) of 46447 and 46458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46447 and 46458. First we will calculate the prime factors of 46447 and 46458.

Prime Factorization of 46447

Prime factors of 46447 are 46447. Prime factorization of 46447 in exponential form is:

46447 = 464471

Prime Factorization of 46458

Prime factors of 46458 are 2, 3, 29, 89. Prime factorization of 46458 in exponential form is:

46458 = 21 × 32 × 291 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 46447 and 46458.

LCM(46447,46458) = 464471 × 21 × 32 × 291 × 891
LCM(46447,46458) = 2157834726