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What is the Least Common Multiple of 4700 and 4705?

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 4705 is 4422700.

LCM(4700,4705) = 4422700

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Least Common Multiple of 4700 and 4705 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 4705, than apply into the LCM equation.

GCF(4700,4705) = 5
LCM(4700,4705) = ( 4700 × 4705) / 5
LCM(4700,4705) = 22113500 / 5
LCM(4700,4705) = 4422700

Least Common Multiple (LCM) of 4700 and 4705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4700 and 4705. First we will calculate the prime factors of 4700 and 4705.

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 4705

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

4705 = 51 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 4700 and 4705.

LCM(4700,4705) = 22 × 52 × 471 × 9411
LCM(4700,4705) = 4422700