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What is the Least Common Multiple of 4728 and 4734?

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 4728 and 4734 is 3730392.

LCM(4728,4734) = 3730392

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Least Common Multiple of 4728 and 4734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4728 and 4734, than apply into the LCM equation.

GCF(4728,4734) = 6
LCM(4728,4734) = ( 4728 × 4734) / 6
LCM(4728,4734) = 22382352 / 6
LCM(4728,4734) = 3730392

Least Common Multiple (LCM) of 4728 and 4734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4728 and 4734. First we will calculate the prime factors of 4728 and 4734.

Prime Factorization of 4728

Prime factors of 4728 are 2, 3, 197. Prime factorization of 4728 in exponential form is:

4728 = 23 × 31 × 1971

Prime Factorization of 4734

Prime factors of 4734 are 2, 3, 263. Prime factorization of 4734 in exponential form is:

4734 = 21 × 32 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 4728 and 4734.

LCM(4728,4734) = 23 × 32 × 1971 × 2631
LCM(4728,4734) = 3730392