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What is the Least Common Multiple of 4707 and 4715?

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 4715 is 22193505.

LCM(4707,4715) = 22193505

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Least Common Multiple of 4707 and 4715 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 4715, than apply into the LCM equation.

GCF(4707,4715) = 1
LCM(4707,4715) = ( 4707 × 4715) / 1
LCM(4707,4715) = 22193505 / 1
LCM(4707,4715) = 22193505

Least Common Multiple (LCM) of 4707 and 4715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4707 and 4715. First we will calculate the prime factors of 4707 and 4715.

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 4715

Prime factors of 4715 are 5, 23, 41. Prime factorization of 4715 in exponential form is:

4715 = 51 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 4707 and 4715.

LCM(4707,4715) = 32 × 5231 × 51 × 231 × 411
LCM(4707,4715) = 22193505