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What is the Least Common Multiple of 68084 and 68095?

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 68084 and 68095 is 4636179980.

LCM(68084,68095) = 4636179980

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Least Common Multiple of 68084 and 68095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68084 and 68095, than apply into the LCM equation.

GCF(68084,68095) = 1
LCM(68084,68095) = ( 68084 × 68095) / 1
LCM(68084,68095) = 4636179980 / 1
LCM(68084,68095) = 4636179980

Least Common Multiple (LCM) of 68084 and 68095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68084 and 68095. First we will calculate the prime factors of 68084 and 68095.

Prime Factorization of 68084

Prime factors of 68084 are 2, 17021. Prime factorization of 68084 in exponential form is:

68084 = 22 × 170211

Prime Factorization of 68095

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

68095 = 51 × 136191

Now multiplying the highest exponent prime factors to calculate the LCM of 68084 and 68095.

LCM(68084,68095) = 22 × 170211 × 51 × 136191
LCM(68084,68095) = 4636179980