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What is the Least Common Multiple of 4705 and 4711?

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 4705 and 4711 is 22165255.

LCM(4705,4711) = 22165255

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Least Common Multiple of 4705 and 4711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4705 and 4711, than apply into the LCM equation.

GCF(4705,4711) = 1
LCM(4705,4711) = ( 4705 × 4711) / 1
LCM(4705,4711) = 22165255 / 1
LCM(4705,4711) = 22165255

Least Common Multiple (LCM) of 4705 and 4711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4705 and 4711. First we will calculate the prime factors of 4705 and 4711.

Prime Factorization of 4705

Prime factors of 4705 are 5, 941. Prime factorization of 4705 in exponential form is:

4705 = 51 × 9411

Prime Factorization of 4711

Prime factors of 4711 are 7, 673. Prime factorization of 4711 in exponential form is:

4711 = 71 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 4705 and 4711.

LCM(4705,4711) = 51 × 9411 × 71 × 6731
LCM(4705,4711) = 22165255