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What is the Least Common Multiple of 4687 and 4702?

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 4687 and 4702 is 22038274.

LCM(4687,4702) = 22038274

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Least Common Multiple of 4687 and 4702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4687 and 4702, than apply into the LCM equation.

GCF(4687,4702) = 1
LCM(4687,4702) = ( 4687 × 4702) / 1
LCM(4687,4702) = 22038274 / 1
LCM(4687,4702) = 22038274

Least Common Multiple (LCM) of 4687 and 4702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4687 and 4702. First we will calculate the prime factors of 4687 and 4702.

Prime Factorization of 4687

Prime factors of 4687 are 43, 109. Prime factorization of 4687 in exponential form is:

4687 = 431 × 1091

Prime Factorization of 4702

Prime factors of 4702 are 2, 2351. Prime factorization of 4702 in exponential form is:

4702 = 21 × 23511

Now multiplying the highest exponent prime factors to calculate the LCM of 4687 and 4702.

LCM(4687,4702) = 431 × 1091 × 21 × 23511
LCM(4687,4702) = 22038274