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What is the Least Common Multiple of 68382 and 68390?

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 68382 and 68390 is 2338322490.

LCM(68382,68390) = 2338322490

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Least Common Multiple of 68382 and 68390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68382 and 68390, than apply into the LCM equation.

GCF(68382,68390) = 2
LCM(68382,68390) = ( 68382 × 68390) / 2
LCM(68382,68390) = 4676644980 / 2
LCM(68382,68390) = 2338322490

Least Common Multiple (LCM) of 68382 and 68390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68382 and 68390. First we will calculate the prime factors of 68382 and 68390.

Prime Factorization of 68382

Prime factors of 68382 are 2, 3, 29, 131. Prime factorization of 68382 in exponential form is:

68382 = 21 × 32 × 291 × 1311

Prime Factorization of 68390

Prime factors of 68390 are 2, 5, 7, 977. Prime factorization of 68390 in exponential form is:

68390 = 21 × 51 × 71 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 68382 and 68390.

LCM(68382,68390) = 21 × 32 × 291 × 1311 × 51 × 71 × 9771
LCM(68382,68390) = 2338322490