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What is the Least Common Multiple of 68298 and 68305?

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 68298 and 68305 is 4665094890.

LCM(68298,68305) = 4665094890

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Least Common Multiple of 68298 and 68305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68298 and 68305, than apply into the LCM equation.

GCF(68298,68305) = 1
LCM(68298,68305) = ( 68298 × 68305) / 1
LCM(68298,68305) = 4665094890 / 1
LCM(68298,68305) = 4665094890

Least Common Multiple (LCM) of 68298 and 68305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68298 and 68305. First we will calculate the prime factors of 68298 and 68305.

Prime Factorization of 68298

Prime factors of 68298 are 2, 3, 11383. Prime factorization of 68298 in exponential form is:

68298 = 21 × 31 × 113831

Prime Factorization of 68305

Prime factors of 68305 are 5, 19, 719. Prime factorization of 68305 in exponential form is:

68305 = 51 × 191 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 68298 and 68305.

LCM(68298,68305) = 21 × 31 × 113831 × 51 × 191 × 7191
LCM(68298,68305) = 4665094890