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What is the Least Common Multiple of 55702 and 55714?

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 55702 and 55714 is 1551690614.

LCM(55702,55714) = 1551690614

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Least Common Multiple of 55702 and 55714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55702 and 55714, than apply into the LCM equation.

GCF(55702,55714) = 2
LCM(55702,55714) = ( 55702 × 55714) / 2
LCM(55702,55714) = 3103381228 / 2
LCM(55702,55714) = 1551690614

Least Common Multiple (LCM) of 55702 and 55714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55702 and 55714. First we will calculate the prime factors of 55702 and 55714.

Prime Factorization of 55702

Prime factors of 55702 are 2, 27851. Prime factorization of 55702 in exponential form is:

55702 = 21 × 278511

Prime Factorization of 55714

Prime factors of 55714 are 2, 89, 313. Prime factorization of 55714 in exponential form is:

55714 = 21 × 891 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 55702 and 55714.

LCM(55702,55714) = 21 × 278511 × 891 × 3131
LCM(55702,55714) = 1551690614