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What is the Least Common Multiple of 55471 and 55490?

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 55471 and 55490 is 3078085790.

LCM(55471,55490) = 3078085790

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Least Common Multiple of 55471 and 55490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55471 and 55490, than apply into the LCM equation.

GCF(55471,55490) = 1
LCM(55471,55490) = ( 55471 × 55490) / 1
LCM(55471,55490) = 3078085790 / 1
LCM(55471,55490) = 3078085790

Least Common Multiple (LCM) of 55471 and 55490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55471 and 55490. First we will calculate the prime factors of 55471 and 55490.

Prime Factorization of 55471

Prime factors of 55471 are 13, 17, 251. Prime factorization of 55471 in exponential form is:

55471 = 131 × 171 × 2511

Prime Factorization of 55490

Prime factors of 55490 are 2, 5, 31, 179. Prime factorization of 55490 in exponential form is:

55490 = 21 × 51 × 311 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 55471 and 55490.

LCM(55471,55490) = 131 × 171 × 2511 × 21 × 51 × 311 × 1791
LCM(55471,55490) = 3078085790