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What is the Least Common Multiple of 55812 and 55824?

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 55812 and 55824 is 259637424.

LCM(55812,55824) = 259637424

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Least Common Multiple of 55812 and 55824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55812 and 55824, than apply into the LCM equation.

GCF(55812,55824) = 12
LCM(55812,55824) = ( 55812 × 55824) / 12
LCM(55812,55824) = 3115649088 / 12
LCM(55812,55824) = 259637424

Least Common Multiple (LCM) of 55812 and 55824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55812 and 55824. First we will calculate the prime factors of 55812 and 55824.

Prime Factorization of 55812

Prime factors of 55812 are 2, 3, 4651. Prime factorization of 55812 in exponential form is:

55812 = 22 × 31 × 46511

Prime Factorization of 55824

Prime factors of 55824 are 2, 3, 1163. Prime factorization of 55824 in exponential form is:

55824 = 24 × 31 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 55812 and 55824.

LCM(55812,55824) = 24 × 31 × 46511 × 11631
LCM(55812,55824) = 259637424