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What is the Least Common Multiple of 4719 and 4730?

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 4719 and 4730 is 2029170.

LCM(4719,4730) = 2029170

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Least Common Multiple of 4719 and 4730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4719 and 4730, than apply into the LCM equation.

GCF(4719,4730) = 11
LCM(4719,4730) = ( 4719 × 4730) / 11
LCM(4719,4730) = 22320870 / 11
LCM(4719,4730) = 2029170

Least Common Multiple (LCM) of 4719 and 4730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4719 and 4730. First we will calculate the prime factors of 4719 and 4730.

Prime Factorization of 4719

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

4719 = 31 × 112 × 131

Prime Factorization of 4730

Prime factors of 4730 are 2, 5, 11, 43. Prime factorization of 4730 in exponential form is:

4730 = 21 × 51 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 4719 and 4730.

LCM(4719,4730) = 31 × 112 × 131 × 21 × 51 × 431
LCM(4719,4730) = 2029170