GCF and LCM Calculator Logo

What is the Least Common Multiple of 25509 and 25519?

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 25509 and 25519 is 650964171.

LCM(25509,25519) = 650964171

LCM Calculator and
and

Least Common Multiple of 25509 and 25519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25509 and 25519, than apply into the LCM equation.

GCF(25509,25519) = 1
LCM(25509,25519) = ( 25509 × 25519) / 1
LCM(25509,25519) = 650964171 / 1
LCM(25509,25519) = 650964171

Least Common Multiple (LCM) of 25509 and 25519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25509 and 25519. First we will calculate the prime factors of 25509 and 25519.

Prime Factorization of 25509

Prime factors of 25509 are 3, 11, 773. Prime factorization of 25509 in exponential form is:

25509 = 31 × 111 × 7731

Prime Factorization of 25519

Prime factors of 25519 are 13, 151. Prime factorization of 25519 in exponential form is:

25519 = 132 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 25509 and 25519.

LCM(25509,25519) = 31 × 111 × 7731 × 132 × 1511
LCM(25509,25519) = 650964171