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What is the Least Common Multiple of 63860 and 63871?

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 63860 and 63871 is 4078802060.

LCM(63860,63871) = 4078802060

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Least Common Multiple of 63860 and 63871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63860 and 63871, than apply into the LCM equation.

GCF(63860,63871) = 1
LCM(63860,63871) = ( 63860 × 63871) / 1
LCM(63860,63871) = 4078802060 / 1
LCM(63860,63871) = 4078802060

Least Common Multiple (LCM) of 63860 and 63871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63860 and 63871. First we will calculate the prime factors of 63860 and 63871.

Prime Factorization of 63860

Prime factors of 63860 are 2, 5, 31, 103. Prime factorization of 63860 in exponential form is:

63860 = 22 × 51 × 311 × 1031

Prime Factorization of 63871

Prime factors of 63871 are 23, 2777. Prime factorization of 63871 in exponential form is:

63871 = 231 × 27771

Now multiplying the highest exponent prime factors to calculate the LCM of 63860 and 63871.

LCM(63860,63871) = 22 × 51 × 311 × 1031 × 231 × 27771
LCM(63860,63871) = 4078802060