GCF and LCM Calculator Logo

What is the Least Common Multiple of 2509 and 2525?

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 (LCM) of 2509 and 2525 is 6335225.

LCM(2509,2525) = 6335225

LCM Calculator and
and

Least Common Multiple of 2509 and 2525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2509 and 2525, than apply into the LCM equation.

GCF(2509,2525) = 1
LCM(2509,2525) = ( 2509 × 2525) / 1
LCM(2509,2525) = 6335225 / 1
LCM(2509,2525) = 6335225

Least Common Multiple (LCM) of 2509 and 2525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2509 and 2525. First we will calculate the prime factors of 2509 and 2525.

Prime Factorization of 2509

Prime factors of 2509 are 13, 193. Prime factorization of 2509 in exponential form is:

2509 = 131 × 1931

Prime Factorization of 2525

Prime factors of 2525 are 5, 101. Prime factorization of 2525 in exponential form is:

2525 = 52 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2509 and 2525.

LCM(2509,2525) = 131 × 1931 × 52 × 1011
LCM(2509,2525) = 6335225