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What is the Least Common Multiple of 68681 and 68690?

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 68681 and 68690 is 4717697890.

LCM(68681,68690) = 4717697890

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Least Common Multiple of 68681 and 68690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68681 and 68690, than apply into the LCM equation.

GCF(68681,68690) = 1
LCM(68681,68690) = ( 68681 × 68690) / 1
LCM(68681,68690) = 4717697890 / 1
LCM(68681,68690) = 4717697890

Least Common Multiple (LCM) of 68681 and 68690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68681 and 68690. First we will calculate the prime factors of 68681 and 68690.

Prime Factorization of 68681

Prime factors of 68681 are 173, 397. Prime factorization of 68681 in exponential form is:

68681 = 1731 × 3971

Prime Factorization of 68690

Prime factors of 68690 are 2, 5, 6869. Prime factorization of 68690 in exponential form is:

68690 = 21 × 51 × 68691

Now multiplying the highest exponent prime factors to calculate the LCM of 68681 and 68690.

LCM(68681,68690) = 1731 × 3971 × 21 × 51 × 68691
LCM(68681,68690) = 4717697890