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What is the Least Common Multiple of 63845 and 63862?

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 63845 and 63862 is 4077269390.

LCM(63845,63862) = 4077269390

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Least Common Multiple of 63845 and 63862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63845 and 63862, than apply into the LCM equation.

GCF(63845,63862) = 1
LCM(63845,63862) = ( 63845 × 63862) / 1
LCM(63845,63862) = 4077269390 / 1
LCM(63845,63862) = 4077269390

Least Common Multiple (LCM) of 63845 and 63862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63845 and 63862. First we will calculate the prime factors of 63845 and 63862.

Prime Factorization of 63845

Prime factors of 63845 are 5, 113. Prime factorization of 63845 in exponential form is:

63845 = 51 × 1132

Prime Factorization of 63862

Prime factors of 63862 are 2, 37, 863. Prime factorization of 63862 in exponential form is:

63862 = 21 × 371 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 63845 and 63862.

LCM(63845,63862) = 51 × 1132 × 21 × 371 × 8631
LCM(63845,63862) = 4077269390