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What is the Least Common Multiple of 62699 and 62705?

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 62699 and 62705 is 3931540795.

LCM(62699,62705) = 3931540795

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Least Common Multiple of 62699 and 62705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62699 and 62705, than apply into the LCM equation.

GCF(62699,62705) = 1
LCM(62699,62705) = ( 62699 × 62705) / 1
LCM(62699,62705) = 3931540795 / 1
LCM(62699,62705) = 3931540795

Least Common Multiple (LCM) of 62699 and 62705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62699 and 62705. First we will calculate the prime factors of 62699 and 62705.

Prime Factorization of 62699

Prime factors of 62699 are 7, 13, 53. Prime factorization of 62699 in exponential form is:

62699 = 71 × 132 × 531

Prime Factorization of 62705

Prime factors of 62705 are 5, 12541. Prime factorization of 62705 in exponential form is:

62705 = 51 × 125411

Now multiplying the highest exponent prime factors to calculate the LCM of 62699 and 62705.

LCM(62699,62705) = 71 × 132 × 531 × 51 × 125411
LCM(62699,62705) = 3931540795