What is the Least Common Multiple of 25884 and 25899?

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 25884 and 25899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25884 and 25899, than apply into the LCM equation.

GCF(25884,25899) = 3
LCM(25884,25899) = ( 25884 × 25899) / 3
LCM(25884,25899) = 670369716 / 3
LCM(25884,25899) = 223456572

Least Common Multiple (LCM) of 25884 and 25899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25884 and 25899. First we will calculate the prime factors of 25884 and 25899.

Prime Factorization of 25884

Prime Factorization of 25899

Now multiplying the highest exponent prime factors to calculate the LCM of 25884 and 25899.

LCM(25884,25899) = 2² × 3² × 719¹ × 89¹ × 97¹
LCM(25884,25899) = 223456572