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What is the Least Common Multiple of 4730 and 4739?

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 4730 and 4739 is 22415470.

LCM(4730,4739) = 22415470

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Least Common Multiple of 4730 and 4739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4730 and 4739, than apply into the LCM equation.

GCF(4730,4739) = 1
LCM(4730,4739) = ( 4730 × 4739) / 1
LCM(4730,4739) = 22415470 / 1
LCM(4730,4739) = 22415470

Least Common Multiple (LCM) of 4730 and 4739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4730 and 4739. First we will calculate the prime factors of 4730 and 4739.

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

Prime Factorization of 4739

Prime factors of 4739 are 7, 677. Prime factorization of 4739 in exponential form is:

4739 = 71 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 4730 and 4739.

LCM(4730,4739) = 21 × 51 × 111 × 431 × 71 × 6771
LCM(4730,4739) = 22415470