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What is the Least Common Multiple of 55286 and 55295?

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 55286 and 55295 is 3057039370.

LCM(55286,55295) = 3057039370

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Least Common Multiple of 55286 and 55295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55286 and 55295, than apply into the LCM equation.

GCF(55286,55295) = 1
LCM(55286,55295) = ( 55286 × 55295) / 1
LCM(55286,55295) = 3057039370 / 1
LCM(55286,55295) = 3057039370

Least Common Multiple (LCM) of 55286 and 55295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55286 and 55295. First we will calculate the prime factors of 55286 and 55295.

Prime Factorization of 55286

Prime factors of 55286 are 2, 7, 11, 359. Prime factorization of 55286 in exponential form is:

55286 = 21 × 71 × 111 × 3591

Prime Factorization of 55295

Prime factors of 55295 are 5, 11059. Prime factorization of 55295 in exponential form is:

55295 = 51 × 110591

Now multiplying the highest exponent prime factors to calculate the LCM of 55286 and 55295.

LCM(55286,55295) = 21 × 71 × 111 × 3591 × 51 × 110591
LCM(55286,55295) = 3057039370