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What is the Least Common Multiple of 4700 and 4712?

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 4700 and 4712 is 5536600.

LCM(4700,4712) = 5536600

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Least Common Multiple of 4700 and 4712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4700 and 4712, than apply into the LCM equation.

GCF(4700,4712) = 4
LCM(4700,4712) = ( 4700 × 4712) / 4
LCM(4700,4712) = 22146400 / 4
LCM(4700,4712) = 5536600

Least Common Multiple (LCM) of 4700 and 4712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4700 and 4712. First we will calculate the prime factors of 4700 and 4712.

Prime Factorization of 4700

Prime factors of 4700 are 2, 5, 47. Prime factorization of 4700 in exponential form is:

4700 = 22 × 52 × 471

Prime Factorization of 4712

Prime factors of 4712 are 2, 19, 31. Prime factorization of 4712 in exponential form is:

4712 = 23 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4700 and 4712.

LCM(4700,4712) = 23 × 52 × 471 × 191 × 311
LCM(4700,4712) = 5536600