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What is the Least Common Multiple of 55466 and 55476?

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 55466 and 55476 is 1538515908.

LCM(55466,55476) = 1538515908

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Least Common Multiple of 55466 and 55476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55466 and 55476, than apply into the LCM equation.

GCF(55466,55476) = 2
LCM(55466,55476) = ( 55466 × 55476) / 2
LCM(55466,55476) = 3077031816 / 2
LCM(55466,55476) = 1538515908

Least Common Multiple (LCM) of 55466 and 55476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55466 and 55476. First we will calculate the prime factors of 55466 and 55476.

Prime Factorization of 55466

Prime factors of 55466 are 2, 27733. Prime factorization of 55466 in exponential form is:

55466 = 21 × 277331

Prime Factorization of 55476

Prime factors of 55476 are 2, 3, 23, 67. Prime factorization of 55476 in exponential form is:

55476 = 22 × 32 × 231 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 55466 and 55476.

LCM(55466,55476) = 22 × 277331 × 32 × 231 × 671
LCM(55466,55476) = 1538515908