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What is the Least Common Multiple of 62926 and 62935?

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 62926 and 62935 is 3960247810.

LCM(62926,62935) = 3960247810

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Least Common Multiple of 62926 and 62935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62926 and 62935, than apply into the LCM equation.

GCF(62926,62935) = 1
LCM(62926,62935) = ( 62926 × 62935) / 1
LCM(62926,62935) = 3960247810 / 1
LCM(62926,62935) = 3960247810

Least Common Multiple (LCM) of 62926 and 62935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62926 and 62935. First we will calculate the prime factors of 62926 and 62935.

Prime Factorization of 62926

Prime factors of 62926 are 2, 73, 431. Prime factorization of 62926 in exponential form is:

62926 = 21 × 731 × 4311

Prime Factorization of 62935

Prime factors of 62935 are 5, 41, 307. Prime factorization of 62935 in exponential form is:

62935 = 51 × 411 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 62926 and 62935.

LCM(62926,62935) = 21 × 731 × 4311 × 51 × 411 × 3071
LCM(62926,62935) = 3960247810