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What is the Least Common Multiple of 4838 and 4848?

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 4838 and 4848 is 11727312.

LCM(4838,4848) = 11727312

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Least Common Multiple of 4838 and 4848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4838 and 4848, than apply into the LCM equation.

GCF(4838,4848) = 2
LCM(4838,4848) = ( 4838 × 4848) / 2
LCM(4838,4848) = 23454624 / 2
LCM(4838,4848) = 11727312

Least Common Multiple (LCM) of 4838 and 4848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4838 and 4848. First we will calculate the prime factors of 4838 and 4848.

Prime Factorization of 4838

Prime factors of 4838 are 2, 41, 59. Prime factorization of 4838 in exponential form is:

4838 = 21 × 411 × 591

Prime Factorization of 4848

Prime factors of 4848 are 2, 3, 101. Prime factorization of 4848 in exponential form is:

4848 = 24 × 31 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4838 and 4848.

LCM(4838,4848) = 24 × 411 × 591 × 31 × 1011
LCM(4838,4848) = 11727312