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What is the Least Common Multiple of 55459 and 55468?

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 55459 and 55468 is 3076199812.

LCM(55459,55468) = 3076199812

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Least Common Multiple of 55459 and 55468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55459 and 55468, than apply into the LCM equation.

GCF(55459,55468) = 1
LCM(55459,55468) = ( 55459 × 55468) / 1
LCM(55459,55468) = 3076199812 / 1
LCM(55459,55468) = 3076199812

Least Common Multiple (LCM) of 55459 and 55468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55459 and 55468. First we will calculate the prime factors of 55459 and 55468.

Prime Factorization of 55459

Prime factors of 55459 are 31, 1789. Prime factorization of 55459 in exponential form is:

55459 = 311 × 17891

Prime Factorization of 55468

Prime factors of 55468 are 2, 7, 283. Prime factorization of 55468 in exponential form is:

55468 = 22 × 72 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 55459 and 55468.

LCM(55459,55468) = 311 × 17891 × 22 × 72 × 2831
LCM(55459,55468) = 3076199812