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What is the Least Common Multiple of 4707 and 4718?

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 4707 and 4718 is 22207626.

LCM(4707,4718) = 22207626

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Least Common Multiple of 4707 and 4718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4707 and 4718, than apply into the LCM equation.

GCF(4707,4718) = 1
LCM(4707,4718) = ( 4707 × 4718) / 1
LCM(4707,4718) = 22207626 / 1
LCM(4707,4718) = 22207626

Least Common Multiple (LCM) of 4707 and 4718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4707 and 4718. First we will calculate the prime factors of 4707 and 4718.

Prime Factorization of 4707

Prime factors of 4707 are 3, 523. Prime factorization of 4707 in exponential form is:

4707 = 32 × 5231

Prime Factorization of 4718

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

4718 = 21 × 71 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 4707 and 4718.

LCM(4707,4718) = 32 × 5231 × 21 × 71 × 3371
LCM(4707,4718) = 22207626