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What is the Least Common Multiple of 63862 and 63875?

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 63862 and 63875 is 4079185250.

LCM(63862,63875) = 4079185250

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Least Common Multiple of 63862 and 63875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63862 and 63875, than apply into the LCM equation.

GCF(63862,63875) = 1
LCM(63862,63875) = ( 63862 × 63875) / 1
LCM(63862,63875) = 4079185250 / 1
LCM(63862,63875) = 4079185250

Least Common Multiple (LCM) of 63862 and 63875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63862 and 63875. First we will calculate the prime factors of 63862 and 63875.

Prime Factorization of 63862

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

63862 = 21 × 371 × 8631

Prime Factorization of 63875

Prime factors of 63875 are 5, 7, 73. Prime factorization of 63875 in exponential form is:

63875 = 53 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 63862 and 63875.

LCM(63862,63875) = 21 × 371 × 8631 × 53 × 71 × 731
LCM(63862,63875) = 4079185250