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What is the Least Common Multiple of 55700 and 55711?

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 55700 and 55711 is 3103102700.

LCM(55700,55711) = 3103102700

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Least Common Multiple of 55700 and 55711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55700 and 55711, than apply into the LCM equation.

GCF(55700,55711) = 1
LCM(55700,55711) = ( 55700 × 55711) / 1
LCM(55700,55711) = 3103102700 / 1
LCM(55700,55711) = 3103102700

Least Common Multiple (LCM) of 55700 and 55711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55700 and 55711. First we will calculate the prime factors of 55700 and 55711.

Prime Factorization of 55700

Prime factors of 55700 are 2, 5, 557. Prime factorization of 55700 in exponential form is:

55700 = 22 × 52 × 5571

Prime Factorization of 55711

Prime factors of 55711 are 55711. Prime factorization of 55711 in exponential form is:

55711 = 557111

Now multiplying the highest exponent prime factors to calculate the LCM of 55700 and 55711.

LCM(55700,55711) = 22 × 52 × 5571 × 557111
LCM(55700,55711) = 3103102700