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What is the Least Common Multiple of 4890 and 4896?

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 4890 and 4896 is 3990240.

LCM(4890,4896) = 3990240

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Least Common Multiple of 4890 and 4896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4890 and 4896, than apply into the LCM equation.

GCF(4890,4896) = 6
LCM(4890,4896) = ( 4890 × 4896) / 6
LCM(4890,4896) = 23941440 / 6
LCM(4890,4896) = 3990240

Least Common Multiple (LCM) of 4890 and 4896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4890 and 4896. First we will calculate the prime factors of 4890 and 4896.

Prime Factorization of 4890

Prime factors of 4890 are 2, 3, 5, 163. Prime factorization of 4890 in exponential form is:

4890 = 21 × 31 × 51 × 1631

Prime Factorization of 4896

Prime factors of 4896 are 2, 3, 17. Prime factorization of 4896 in exponential form is:

4896 = 25 × 32 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 4890 and 4896.

LCM(4890,4896) = 25 × 32 × 51 × 1631 × 171
LCM(4890,4896) = 3990240