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What is the Least Common Multiple of 55248 and 55265?

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 55248 and 55265 is 3053280720.

LCM(55248,55265) = 3053280720

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Least Common Multiple of 55248 and 55265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55248 and 55265, than apply into the LCM equation.

GCF(55248,55265) = 1
LCM(55248,55265) = ( 55248 × 55265) / 1
LCM(55248,55265) = 3053280720 / 1
LCM(55248,55265) = 3053280720

Least Common Multiple (LCM) of 55248 and 55265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55248 and 55265. First we will calculate the prime factors of 55248 and 55265.

Prime Factorization of 55248

Prime factors of 55248 are 2, 3, 1151. Prime factorization of 55248 in exponential form is:

55248 = 24 × 31 × 11511

Prime Factorization of 55265

Prime factors of 55265 are 5, 7, 1579. Prime factorization of 55265 in exponential form is:

55265 = 51 × 71 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 55248 and 55265.

LCM(55248,55265) = 24 × 31 × 11511 × 51 × 71 × 15791
LCM(55248,55265) = 3053280720