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What is the Least Common Multiple of 63082 and 63094?

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 63082 and 63094 is 1990047854.

LCM(63082,63094) = 1990047854

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Least Common Multiple of 63082 and 63094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63082 and 63094, than apply into the LCM equation.

GCF(63082,63094) = 2
LCM(63082,63094) = ( 63082 × 63094) / 2
LCM(63082,63094) = 3980095708 / 2
LCM(63082,63094) = 1990047854

Least Common Multiple (LCM) of 63082 and 63094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63082 and 63094. First we will calculate the prime factors of 63082 and 63094.

Prime Factorization of 63082

Prime factors of 63082 are 2, 31541. Prime factorization of 63082 in exponential form is:

63082 = 21 × 315411

Prime Factorization of 63094

Prime factors of 63094 are 2, 31547. Prime factorization of 63094 in exponential form is:

63094 = 21 × 315471

Now multiplying the highest exponent prime factors to calculate the LCM of 63082 and 63094.

LCM(63082,63094) = 21 × 315411 × 315471
LCM(63082,63094) = 1990047854