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What is the Least Common Multiple of 4824 and 4829?

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 4824 and 4829 is 23295096.

LCM(4824,4829) = 23295096

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Least Common Multiple of 4824 and 4829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4824 and 4829, than apply into the LCM equation.

GCF(4824,4829) = 1
LCM(4824,4829) = ( 4824 × 4829) / 1
LCM(4824,4829) = 23295096 / 1
LCM(4824,4829) = 23295096

Least Common Multiple (LCM) of 4824 and 4829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4824 and 4829. First we will calculate the prime factors of 4824 and 4829.

Prime Factorization of 4824

Prime factors of 4824 are 2, 3, 67. Prime factorization of 4824 in exponential form is:

4824 = 23 × 32 × 671

Prime Factorization of 4829

Prime factors of 4829 are 11, 439. Prime factorization of 4829 in exponential form is:

4829 = 111 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 4824 and 4829.

LCM(4824,4829) = 23 × 32 × 671 × 111 × 4391
LCM(4824,4829) = 23295096