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What is the Least Common Multiple of 55700 and 55705?

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 55705 is 620553700.

LCM(55700,55705) = 620553700

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Least Common Multiple of 55700 and 55705 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 55705, than apply into the LCM equation.

GCF(55700,55705) = 5
LCM(55700,55705) = ( 55700 × 55705) / 5
LCM(55700,55705) = 3102768500 / 5
LCM(55700,55705) = 620553700

Least Common Multiple (LCM) of 55700 and 55705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55700 and 55705. First we will calculate the prime factors of 55700 and 55705.

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 55705

Prime factors of 55705 are 5, 13, 857. Prime factorization of 55705 in exponential form is:

55705 = 51 × 131 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 55700 and 55705.

LCM(55700,55705) = 22 × 52 × 5571 × 131 × 8571
LCM(55700,55705) = 620553700