What is the Least Common Multiple of 62871 and 62889?

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 62871 and 62889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62871 and 62889, than apply into the LCM equation.

GCF(62871,62889) = 3
LCM(62871,62889) = ( 62871 × 62889) / 3
LCM(62871,62889) = 3953894319 / 3
LCM(62871,62889) = 1317964773

Least Common Multiple (LCM) of 62871 and 62889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62871 and 62889. First we will calculate the prime factors of 62871 and 62889.

Prime Factorization of 62871

Prime Factorization of 62889

Now multiplying the highest exponent prime factors to calculate the LCM of 62871 and 62889.

LCM(62871,62889) = 3¹ × 19¹ × 1103¹ × 20963¹
LCM(62871,62889) = 1317964773