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What is the Least Common Multiple of 68659 and 68669?

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 68659 and 68669 is 4714744871.

LCM(68659,68669) = 4714744871

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Least Common Multiple of 68659 and 68669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68659 and 68669, than apply into the LCM equation.

GCF(68659,68669) = 1
LCM(68659,68669) = ( 68659 × 68669) / 1
LCM(68659,68669) = 4714744871 / 1
LCM(68659,68669) = 4714744871

Least Common Multiple (LCM) of 68659 and 68669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68659 and 68669. First we will calculate the prime factors of 68659 and 68669.

Prime Factorization of 68659

Prime factors of 68659 are 68659. Prime factorization of 68659 in exponential form is:

68659 = 686591

Prime Factorization of 68669

Prime factors of 68669 are 68669. Prime factorization of 68669 in exponential form is:

68669 = 686691

Now multiplying the highest exponent prime factors to calculate the LCM of 68659 and 68669.

LCM(68659,68669) = 686591 × 686691
LCM(68659,68669) = 4714744871