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What is the Least Common Multiple of 68623 and 68629?

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 68623 and 68629 is 4709527867.

LCM(68623,68629) = 4709527867

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Least Common Multiple of 68623 and 68629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68623 and 68629, than apply into the LCM equation.

GCF(68623,68629) = 1
LCM(68623,68629) = ( 68623 × 68629) / 1
LCM(68623,68629) = 4709527867 / 1
LCM(68623,68629) = 4709527867

Least Common Multiple (LCM) of 68623 and 68629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68623 and 68629. First we will calculate the prime factors of 68623 and 68629.

Prime Factorization of 68623

Prime factors of 68623 are 163, 421. Prime factorization of 68623 in exponential form is:

68623 = 1631 × 4211

Prime Factorization of 68629

Prime factors of 68629 are 11, 17, 367. Prime factorization of 68629 in exponential form is:

68629 = 111 × 171 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 68623 and 68629.

LCM(68623,68629) = 1631 × 4211 × 111 × 171 × 3671
LCM(68623,68629) = 4709527867