GCF and LCM Calculator Logo

What is the Least Common Multiple of 25501 and 25520?

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 25501 and 25520 is 650785520.

LCM(25501,25520) = 650785520

LCM Calculator and
and

Least Common Multiple of 25501 and 25520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25501 and 25520, than apply into the LCM equation.

GCF(25501,25520) = 1
LCM(25501,25520) = ( 25501 × 25520) / 1
LCM(25501,25520) = 650785520 / 1
LCM(25501,25520) = 650785520

Least Common Multiple (LCM) of 25501 and 25520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25501 and 25520. First we will calculate the prime factors of 25501 and 25520.

Prime Factorization of 25501

Prime factors of 25501 are 7, 3643. Prime factorization of 25501 in exponential form is:

25501 = 71 × 36431

Prime Factorization of 25520

Prime factors of 25520 are 2, 5, 11, 29. Prime factorization of 25520 in exponential form is:

25520 = 24 × 51 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 25501 and 25520.

LCM(25501,25520) = 71 × 36431 × 24 × 51 × 111 × 291
LCM(25501,25520) = 650785520