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What is the Least Common Multiple of 55266 and 55279?

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 55279 is 3055049214.

LCM(55266,55279) = 3055049214

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Least Common Multiple of 55266 and 55279 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 55279, than apply into the LCM equation.

GCF(55266,55279) = 1
LCM(55266,55279) = ( 55266 × 55279) / 1
LCM(55266,55279) = 3055049214 / 1
LCM(55266,55279) = 3055049214

Least Common Multiple (LCM) of 55266 and 55279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55266 and 55279. First we will calculate the prime factors of 55266 and 55279.

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 55279

Prime factors of 55279 are 7, 53, 149. Prime factorization of 55279 in exponential form is:

55279 = 71 × 531 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 55266 and 55279.

LCM(55266,55279) = 21 × 31 × 611 × 1511 × 71 × 531 × 1491
LCM(55266,55279) = 3055049214