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What is the Least Common Multiple of 4694 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 4694 and 4702 is 11035594.

LCM(4694,4702) = 11035594

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Least Common Multiple of 4694 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 4694 and 4702, than apply into the LCM equation.

GCF(4694,4702) = 2
LCM(4694,4702) = ( 4694 × 4702) / 2
LCM(4694,4702) = 22071188 / 2
LCM(4694,4702) = 11035594

Least Common Multiple (LCM) of 4694 and 4702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4694 and 4702. First we will calculate the prime factors of 4694 and 4702.

Prime Factorization of 4694

Prime factors of 4694 are 2, 2347. Prime factorization of 4694 in exponential form is:

4694 = 21 × 23471

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 4694 and 4702.

LCM(4694,4702) = 21 × 23471 × 23511
LCM(4694,4702) = 11035594