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What is the Least Common Multiple of 4695 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 4695 and 4702 is 22075890.

LCM(4695,4702) = 22075890

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Least Common Multiple of 4695 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 4695 and 4702, than apply into the LCM equation.

GCF(4695,4702) = 1
LCM(4695,4702) = ( 4695 × 4702) / 1
LCM(4695,4702) = 22075890 / 1
LCM(4695,4702) = 22075890

Least Common Multiple (LCM) of 4695 and 4702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4695 and 4702. First we will calculate the prime factors of 4695 and 4702.

Prime Factorization of 4695

Prime factors of 4695 are 3, 5, 313. Prime factorization of 4695 in exponential form is:

4695 = 31 × 51 × 3131

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 4695 and 4702.

LCM(4695,4702) = 31 × 51 × 3131 × 21 × 23511
LCM(4695,4702) = 22075890