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What is the Least Common Multiple of 46982 and 46995?

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 46982 and 46995 is 169839930.

LCM(46982,46995) = 169839930

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Least Common Multiple of 46982 and 46995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46982 and 46995, than apply into the LCM equation.

GCF(46982,46995) = 13
LCM(46982,46995) = ( 46982 × 46995) / 13
LCM(46982,46995) = 2207919090 / 13
LCM(46982,46995) = 169839930

Least Common Multiple (LCM) of 46982 and 46995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46982 and 46995. First we will calculate the prime factors of 46982 and 46995.

Prime Factorization of 46982

Prime factors of 46982 are 2, 13, 139. Prime factorization of 46982 in exponential form is:

46982 = 21 × 132 × 1391

Prime Factorization of 46995

Prime factors of 46995 are 3, 5, 13, 241. Prime factorization of 46995 in exponential form is:

46995 = 31 × 51 × 131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 46982 and 46995.

LCM(46982,46995) = 21 × 132 × 1391 × 31 × 51 × 2411
LCM(46982,46995) = 169839930