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What is the Least Common Multiple of 68108 and 68119?

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 68108 and 68119 is 4639448852.

LCM(68108,68119) = 4639448852

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Least Common Multiple of 68108 and 68119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68108 and 68119, than apply into the LCM equation.

GCF(68108,68119) = 1
LCM(68108,68119) = ( 68108 × 68119) / 1
LCM(68108,68119) = 4639448852 / 1
LCM(68108,68119) = 4639448852

Least Common Multiple (LCM) of 68108 and 68119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68108 and 68119. First we will calculate the prime factors of 68108 and 68119.

Prime Factorization of 68108

Prime factors of 68108 are 2, 17027. Prime factorization of 68108 in exponential form is:

68108 = 22 × 170271

Prime Factorization of 68119

Prime factors of 68119 are 17, 4007. Prime factorization of 68119 in exponential form is:

68119 = 171 × 40071

Now multiplying the highest exponent prime factors to calculate the LCM of 68108 and 68119.

LCM(68108,68119) = 22 × 170271 × 171 × 40071
LCM(68108,68119) = 4639448852