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What is the Least Common Multiple of 46841 and 46846?

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 46841 and 46846 is 2194313486.

LCM(46841,46846) = 2194313486

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Least Common Multiple of 46841 and 46846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46841 and 46846, than apply into the LCM equation.

GCF(46841,46846) = 1
LCM(46841,46846) = ( 46841 × 46846) / 1
LCM(46841,46846) = 2194313486 / 1
LCM(46841,46846) = 2194313486

Least Common Multiple (LCM) of 46841 and 46846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46841 and 46846. First we will calculate the prime factors of 46841 and 46846.

Prime Factorization of 46841

Prime factors of 46841 are 31, 1511. Prime factorization of 46841 in exponential form is:

46841 = 311 × 15111

Prime Factorization of 46846

Prime factors of 46846 are 2, 59, 397. Prime factorization of 46846 in exponential form is:

46846 = 21 × 591 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 46841 and 46846.

LCM(46841,46846) = 311 × 15111 × 21 × 591 × 3971
LCM(46841,46846) = 2194313486