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What is the Least Common Multiple of 62716 and 62727?

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 62716 and 62727 is 3933986532.

LCM(62716,62727) = 3933986532

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Least Common Multiple of 62716 and 62727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62716 and 62727, than apply into the LCM equation.

GCF(62716,62727) = 1
LCM(62716,62727) = ( 62716 × 62727) / 1
LCM(62716,62727) = 3933986532 / 1
LCM(62716,62727) = 3933986532

Least Common Multiple (LCM) of 62716 and 62727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62716 and 62727. First we will calculate the prime factors of 62716 and 62727.

Prime Factorization of 62716

Prime factors of 62716 are 2, 15679. Prime factorization of 62716 in exponential form is:

62716 = 22 × 156791

Prime Factorization of 62727

Prime factors of 62727 are 3, 7, 29, 103. Prime factorization of 62727 in exponential form is:

62727 = 31 × 71 × 291 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 62716 and 62727.

LCM(62716,62727) = 22 × 156791 × 31 × 71 × 291 × 1031
LCM(62716,62727) = 3933986532