What is the Least Common Multiple of 95874 and 95889?

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 95874 and 95889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95874 and 95889, than apply into the LCM equation.

GCF(95874,95889) = 3
LCM(95874,95889) = ( 95874 × 95889) / 3
LCM(95874,95889) = 9193261986 / 3
LCM(95874,95889) = 3064420662

Least Common Multiple (LCM) of 95874 and 95889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95874 and 95889. First we will calculate the prime factors of 95874 and 95889.

Prime Factorization of 95874

Prime Factorization of 95889

Now multiplying the highest exponent prime factors to calculate the LCM of 95874 and 95889.

LCM(95874,95889) = 2¹ × 3¹ × 19¹ × 29² × 31963¹
LCM(95874,95889) = 3064420662