What is the Least Common Multiple of 25044 and 25058?

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 25044 and 25058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25044 and 25058, than apply into the LCM equation.

GCF(25044,25058) = 2
LCM(25044,25058) = ( 25044 × 25058) / 2
LCM(25044,25058) = 627552552 / 2
LCM(25044,25058) = 313776276

Least Common Multiple (LCM) of 25044 and 25058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25044 and 25058. First we will calculate the prime factors of 25044 and 25058.

Prime Factorization of 25044

Prime Factorization of 25058

Now multiplying the highest exponent prime factors to calculate the LCM of 25044 and 25058.

LCM(25044,25058) = 2² × 3¹ × 2087¹ × 11¹ × 17¹ × 67¹
LCM(25044,25058) = 313776276