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What is the Least Common Multiple of 68096 and 68109?

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 68096 and 68109 is 4637950464.

LCM(68096,68109) = 4637950464

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Least Common Multiple of 68096 and 68109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68096 and 68109, than apply into the LCM equation.

GCF(68096,68109) = 1
LCM(68096,68109) = ( 68096 × 68109) / 1
LCM(68096,68109) = 4637950464 / 1
LCM(68096,68109) = 4637950464

Least Common Multiple (LCM) of 68096 and 68109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68096 and 68109. First we will calculate the prime factors of 68096 and 68109.

Prime Factorization of 68096

Prime factors of 68096 are 2, 7, 19. Prime factorization of 68096 in exponential form is:

68096 = 29 × 71 × 191

Prime Factorization of 68109

Prime factors of 68109 are 3, 73, 311. Prime factorization of 68109 in exponential form is:

68109 = 31 × 731 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 68096 and 68109.

LCM(68096,68109) = 29 × 71 × 191 × 31 × 731 × 3111
LCM(68096,68109) = 4637950464