What is the Least Common Multiple of 25005 and 25009?

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 25005 and 25009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25005 and 25009, than apply into the LCM equation.

GCF(25005,25009) = 1
LCM(25005,25009) = ( 25005 × 25009) / 1
LCM(25005,25009) = 625350045 / 1
LCM(25005,25009) = 625350045

Least Common Multiple (LCM) of 25005 and 25009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25005 and 25009. First we will calculate the prime factors of 25005 and 25009.

Prime Factorization of 25005

Prime Factorization of 25009

Now multiplying the highest exponent prime factors to calculate the LCM of 25005 and 25009.

LCM(25005,25009) = 3¹ × 5¹ × 1667¹ × 89¹ × 281¹
LCM(25005,25009) = 625350045