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What is the Least Common Multiple of 46831 and 46850?

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 46831 and 46850 is 2194032350.

LCM(46831,46850) = 2194032350

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Least Common Multiple of 46831 and 46850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46831 and 46850, than apply into the LCM equation.

GCF(46831,46850) = 1
LCM(46831,46850) = ( 46831 × 46850) / 1
LCM(46831,46850) = 2194032350 / 1
LCM(46831,46850) = 2194032350

Least Common Multiple (LCM) of 46831 and 46850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46831 and 46850. First we will calculate the prime factors of 46831 and 46850.

Prime Factorization of 46831

Prime factors of 46831 are 46831. Prime factorization of 46831 in exponential form is:

46831 = 468311

Prime Factorization of 46850

Prime factors of 46850 are 2, 5, 937. Prime factorization of 46850 in exponential form is:

46850 = 21 × 52 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 46831 and 46850.

LCM(46831,46850) = 468311 × 21 × 52 × 9371
LCM(46831,46850) = 2194032350