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What is the Least Common Multiple of 4710 and 4729?

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 4710 and 4729 is 22273590.

LCM(4710,4729) = 22273590

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Least Common Multiple of 4710 and 4729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4710 and 4729, than apply into the LCM equation.

GCF(4710,4729) = 1
LCM(4710,4729) = ( 4710 × 4729) / 1
LCM(4710,4729) = 22273590 / 1
LCM(4710,4729) = 22273590

Least Common Multiple (LCM) of 4710 and 4729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4710 and 4729. First we will calculate the prime factors of 4710 and 4729.

Prime Factorization of 4710

Prime factors of 4710 are 2, 3, 5, 157. Prime factorization of 4710 in exponential form is:

4710 = 21 × 31 × 51 × 1571

Prime Factorization of 4729

Prime factors of 4729 are 4729. Prime factorization of 4729 in exponential form is:

4729 = 47291

Now multiplying the highest exponent prime factors to calculate the LCM of 4710 and 4729.

LCM(4710,4729) = 21 × 31 × 51 × 1571 × 47291
LCM(4710,4729) = 22273590