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What is the Least Common Multiple of 4718 and 4735?

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 4718 and 4735 is 22339730.

LCM(4718,4735) = 22339730

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Least Common Multiple of 4718 and 4735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4718 and 4735, than apply into the LCM equation.

GCF(4718,4735) = 1
LCM(4718,4735) = ( 4718 × 4735) / 1
LCM(4718,4735) = 22339730 / 1
LCM(4718,4735) = 22339730

Least Common Multiple (LCM) of 4718 and 4735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4718 and 4735. First we will calculate the prime factors of 4718 and 4735.

Prime Factorization of 4718

Prime factors of 4718 are 2, 7, 337. Prime factorization of 4718 in exponential form is:

4718 = 21 × 71 × 3371

Prime Factorization of 4735

Prime factors of 4735 are 5, 947. Prime factorization of 4735 in exponential form is:

4735 = 51 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 4718 and 4735.

LCM(4718,4735) = 21 × 71 × 3371 × 51 × 9471
LCM(4718,4735) = 22339730