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What is the Least Common Multiple of 68095 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 68095 and 68109 is 4637882355.

LCM(68095,68109) = 4637882355

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Least Common Multiple of 68095 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 68095 and 68109, than apply into the LCM equation.

GCF(68095,68109) = 1
LCM(68095,68109) = ( 68095 × 68109) / 1
LCM(68095,68109) = 4637882355 / 1
LCM(68095,68109) = 4637882355

Least Common Multiple (LCM) of 68095 and 68109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68095 and 68109. First we will calculate the prime factors of 68095 and 68109.

Prime Factorization of 68095

Prime factors of 68095 are 5, 13619. Prime factorization of 68095 in exponential form is:

68095 = 51 × 136191

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 68095 and 68109.

LCM(68095,68109) = 51 × 136191 × 31 × 731 × 3111
LCM(68095,68109) = 4637882355