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What is the Least Common Multiple of 55563 and 55580?

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 55563 and 55580 is 3088191540.

LCM(55563,55580) = 3088191540

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Least Common Multiple of 55563 and 55580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55563 and 55580, than apply into the LCM equation.

GCF(55563,55580) = 1
LCM(55563,55580) = ( 55563 × 55580) / 1
LCM(55563,55580) = 3088191540 / 1
LCM(55563,55580) = 3088191540

Least Common Multiple (LCM) of 55563 and 55580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55563 and 55580. First we will calculate the prime factors of 55563 and 55580.

Prime Factorization of 55563

Prime factors of 55563 are 3, 18521. Prime factorization of 55563 in exponential form is:

55563 = 31 × 185211

Prime Factorization of 55580

Prime factors of 55580 are 2, 5, 7, 397. Prime factorization of 55580 in exponential form is:

55580 = 22 × 51 × 71 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 55563 and 55580.

LCM(55563,55580) = 31 × 185211 × 22 × 51 × 71 × 3971
LCM(55563,55580) = 3088191540