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What is the Least Common Multiple of 62695 and 62699?

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 62695 and 62699 is 3930913805.

LCM(62695,62699) = 3930913805

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Least Common Multiple of 62695 and 62699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62695 and 62699, than apply into the LCM equation.

GCF(62695,62699) = 1
LCM(62695,62699) = ( 62695 × 62699) / 1
LCM(62695,62699) = 3930913805 / 1
LCM(62695,62699) = 3930913805

Least Common Multiple (LCM) of 62695 and 62699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62695 and 62699. First we will calculate the prime factors of 62695 and 62699.

Prime Factorization of 62695

Prime factors of 62695 are 5, 12539. Prime factorization of 62695 in exponential form is:

62695 = 51 × 125391

Prime Factorization of 62699

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

62699 = 71 × 132 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 62695 and 62699.

LCM(62695,62699) = 51 × 125391 × 71 × 132 × 531
LCM(62695,62699) = 3930913805