What is the Least Common Multiple of 25864 and 25884?

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 25864 and 25884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25864 and 25884, than apply into the LCM equation.

GCF(25864,25884) = 4
LCM(25864,25884) = ( 25864 × 25884) / 4
LCM(25864,25884) = 669463776 / 4
LCM(25864,25884) = 167365944

Least Common Multiple (LCM) of 25864 and 25884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25864 and 25884. First we will calculate the prime factors of 25864 and 25884.

Prime Factorization of 25864

Prime Factorization of 25884

Now multiplying the highest exponent prime factors to calculate the LCM of 25864 and 25884.

LCM(25864,25884) = 2³ × 53¹ × 61¹ × 3² × 719¹
LCM(25864,25884) = 167365944