What is the Least Common Multiple of 25039 and 25049?

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 25039 and 25049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25039 and 25049, than apply into the LCM equation.

GCF(25039,25049) = 1
LCM(25039,25049) = ( 25039 × 25049) / 1
LCM(25039,25049) = 627201911 / 1
LCM(25039,25049) = 627201911

Least Common Multiple (LCM) of 25039 and 25049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25039 and 25049. First we will calculate the prime factors of 25039 and 25049.

Prime Factorization of 25039

Prime Factorization of 25049

Now multiplying the highest exponent prime factors to calculate the LCM of 25039 and 25049.

LCM(25039,25049) = 7³ × 73¹ × 37¹ × 677¹
LCM(25039,25049) = 627201911