What is the Least Common Multiple of 25992 and 26009?

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 25992 and 26009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25992 and 26009, than apply into the LCM equation.

GCF(25992,26009) = 1
LCM(25992,26009) = ( 25992 × 26009) / 1
LCM(25992,26009) = 676025928 / 1
LCM(25992,26009) = 676025928

Least Common Multiple (LCM) of 25992 and 26009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25992 and 26009. First we will calculate the prime factors of 25992 and 26009.

Prime Factorization of 25992

Prime Factorization of 26009

Now multiplying the highest exponent prime factors to calculate the LCM of 25992 and 26009.

LCM(25992,26009) = 2³ × 3² × 19² × 31¹ × 839¹
LCM(25992,26009) = 676025928