What is the Least Common Multiple of 63871 and 63889?

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 of 63871 and 63889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63871 and 63889, than apply into the LCM equation.

GCF(63871,63889) = 1
LCM(63871,63889) = ( 63871 × 63889) / 1
LCM(63871,63889) = 4080654319 / 1
LCM(63871,63889) = 4080654319

Least Common Multiple (LCM) of 63871 and 63889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63871 and 63889. First we will calculate the prime factors of 63871 and 63889.

Prime Factorization of 63871

Prime Factorization of 63889

Now multiplying the highest exponent prime factors to calculate the LCM of 63871 and 63889.

LCM(63871,63889) = 23¹ × 2777¹ × 7¹ × 9127¹
LCM(63871,63889) = 4080654319