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What is the Least Common Multiple of 55900 and 55907?

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 55900 and 55907 is 3125201300.

LCM(55900,55907) = 3125201300

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Least Common Multiple of 55900 and 55907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55900 and 55907, than apply into the LCM equation.

GCF(55900,55907) = 1
LCM(55900,55907) = ( 55900 × 55907) / 1
LCM(55900,55907) = 3125201300 / 1
LCM(55900,55907) = 3125201300

Least Common Multiple (LCM) of 55900 and 55907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55900 and 55907. First we will calculate the prime factors of 55900 and 55907.

Prime Factorization of 55900

Prime factors of 55900 are 2, 5, 13, 43. Prime factorization of 55900 in exponential form is:

55900 = 22 × 52 × 131 × 431

Prime Factorization of 55907

Prime factors of 55907 are 37, 1511. Prime factorization of 55907 in exponential form is:

55907 = 371 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 55900 and 55907.

LCM(55900,55907) = 22 × 52 × 131 × 431 × 371 × 15111
LCM(55900,55907) = 3125201300