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What is the Least Common Multiple of 4702 and 4719?

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 4702 and 4719 is 22188738.

LCM(4702,4719) = 22188738

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Least Common Multiple of 4702 and 4719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4702 and 4719, than apply into the LCM equation.

GCF(4702,4719) = 1
LCM(4702,4719) = ( 4702 × 4719) / 1
LCM(4702,4719) = 22188738 / 1
LCM(4702,4719) = 22188738

Least Common Multiple (LCM) of 4702 and 4719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4702 and 4719. First we will calculate the prime factors of 4702 and 4719.

Prime Factorization of 4702

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

4702 = 21 × 23511

Prime Factorization of 4719

Prime factors of 4719 are 3, 11, 13. Prime factorization of 4719 in exponential form is:

4719 = 31 × 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 4702 and 4719.

LCM(4702,4719) = 21 × 23511 × 31 × 112 × 131
LCM(4702,4719) = 22188738