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What is the Least Common Multiple of 55266 and 55286?

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 55266 and 55286 is 1527718038.

LCM(55266,55286) = 1527718038

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Least Common Multiple of 55266 and 55286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55266 and 55286, than apply into the LCM equation.

GCF(55266,55286) = 2
LCM(55266,55286) = ( 55266 × 55286) / 2
LCM(55266,55286) = 3055436076 / 2
LCM(55266,55286) = 1527718038

Least Common Multiple (LCM) of 55266 and 55286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55266 and 55286. First we will calculate the prime factors of 55266 and 55286.

Prime Factorization of 55266

Prime factors of 55266 are 2, 3, 61, 151. Prime factorization of 55266 in exponential form is:

55266 = 21 × 31 × 611 × 1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 55266 and 55286.

LCM(55266,55286) = 21 × 31 × 611 × 1511 × 71 × 111 × 3591
LCM(55266,55286) = 1527718038