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What is the Least Common Multiple of 54816 and 54829?

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 54816 and 54829 is 3005506464.

LCM(54816,54829) = 3005506464

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Least Common Multiple of 54816 and 54829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54816 and 54829, than apply into the LCM equation.

GCF(54816,54829) = 1
LCM(54816,54829) = ( 54816 × 54829) / 1
LCM(54816,54829) = 3005506464 / 1
LCM(54816,54829) = 3005506464

Least Common Multiple (LCM) of 54816 and 54829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54816 and 54829. First we will calculate the prime factors of 54816 and 54829.

Prime Factorization of 54816

Prime factors of 54816 are 2, 3, 571. Prime factorization of 54816 in exponential form is:

54816 = 25 × 31 × 5711

Prime Factorization of 54829

Prime factors of 54829 are 54829. Prime factorization of 54829 in exponential form is:

54829 = 548291

Now multiplying the highest exponent prime factors to calculate the LCM of 54816 and 54829.

LCM(54816,54829) = 25 × 31 × 5711 × 548291
LCM(54816,54829) = 3005506464