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What is the Least Common Multiple of 4686 and 4703?

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 4686 and 4703 is 22038258.

LCM(4686,4703) = 22038258

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Least Common Multiple of 4686 and 4703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4686 and 4703, than apply into the LCM equation.

GCF(4686,4703) = 1
LCM(4686,4703) = ( 4686 × 4703) / 1
LCM(4686,4703) = 22038258 / 1
LCM(4686,4703) = 22038258

Least Common Multiple (LCM) of 4686 and 4703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4686 and 4703. First we will calculate the prime factors of 4686 and 4703.

Prime Factorization of 4686

Prime factors of 4686 are 2, 3, 11, 71. Prime factorization of 4686 in exponential form is:

4686 = 21 × 31 × 111 × 711

Prime Factorization of 4703

Prime factors of 4703 are 4703. Prime factorization of 4703 in exponential form is:

4703 = 47031

Now multiplying the highest exponent prime factors to calculate the LCM of 4686 and 4703.

LCM(4686,4703) = 21 × 31 × 111 × 711 × 47031
LCM(4686,4703) = 22038258