GCF and LCM Calculator Logo

What is the Least Common Multiple of 15501 and 15521?

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 15501 and 15521 is 240591021.

LCM(15501,15521) = 240591021

LCM Calculator and
and

Least Common Multiple of 15501 and 15521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15501 and 15521, than apply into the LCM equation.

GCF(15501,15521) = 1
LCM(15501,15521) = ( 15501 × 15521) / 1
LCM(15501,15521) = 240591021 / 1
LCM(15501,15521) = 240591021

Least Common Multiple (LCM) of 15501 and 15521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15501 and 15521. First we will calculate the prime factors of 15501 and 15521.

Prime Factorization of 15501

Prime factors of 15501 are 3, 5167. Prime factorization of 15501 in exponential form is:

15501 = 31 × 51671

Prime Factorization of 15521

Prime factors of 15521 are 11, 17, 83. Prime factorization of 15521 in exponential form is:

15521 = 111 × 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 15501 and 15521.

LCM(15501,15521) = 31 × 51671 × 111 × 171 × 831
LCM(15501,15521) = 240591021