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What is the Least Common Multiple of 55282 and 55298?

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 55282 and 55298 is 1528492018.

LCM(55282,55298) = 1528492018

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Least Common Multiple of 55282 and 55298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55282 and 55298, than apply into the LCM equation.

GCF(55282,55298) = 2
LCM(55282,55298) = ( 55282 × 55298) / 2
LCM(55282,55298) = 3056984036 / 2
LCM(55282,55298) = 1528492018

Least Common Multiple (LCM) of 55282 and 55298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55282 and 55298. First we will calculate the prime factors of 55282 and 55298.

Prime Factorization of 55282

Prime factors of 55282 are 2, 131, 211. Prime factorization of 55282 in exponential form is:

55282 = 21 × 1311 × 2111

Prime Factorization of 55298

Prime factors of 55298 are 2, 43, 643. Prime factorization of 55298 in exponential form is:

55298 = 21 × 431 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 55282 and 55298.

LCM(55282,55298) = 21 × 1311 × 2111 × 431 × 6431
LCM(55282,55298) = 1528492018