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What is the Least Common Multiple of 4740 and 4745?

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 4740 and 4745 is 4498260.

LCM(4740,4745) = 4498260

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Least Common Multiple of 4740 and 4745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4740 and 4745, than apply into the LCM equation.

GCF(4740,4745) = 5
LCM(4740,4745) = ( 4740 × 4745) / 5
LCM(4740,4745) = 22491300 / 5
LCM(4740,4745) = 4498260

Least Common Multiple (LCM) of 4740 and 4745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4740 and 4745. First we will calculate the prime factors of 4740 and 4745.

Prime Factorization of 4740

Prime factors of 4740 are 2, 3, 5, 79. Prime factorization of 4740 in exponential form is:

4740 = 22 × 31 × 51 × 791

Prime Factorization of 4745

Prime factors of 4745 are 5, 13, 73. Prime factorization of 4745 in exponential form is:

4745 = 51 × 131 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 4740 and 4745.

LCM(4740,4745) = 22 × 31 × 51 × 791 × 131 × 731
LCM(4740,4745) = 4498260