GCF and LCM Calculator Logo

What is the Least Common Multiple of 1557 and 1561?

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 1557 and 1561 is 2430477.

LCM(1557,1561) = 2430477

LCM Calculator and
and

Least Common Multiple of 1557 and 1561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1557 and 1561, than apply into the LCM equation.

GCF(1557,1561) = 1
LCM(1557,1561) = ( 1557 × 1561) / 1
LCM(1557,1561) = 2430477 / 1
LCM(1557,1561) = 2430477

Least Common Multiple (LCM) of 1557 and 1561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1557 and 1561. First we will calculate the prime factors of 1557 and 1561.

Prime Factorization of 1557

Prime factors of 1557 are 3, 173. Prime factorization of 1557 in exponential form is:

1557 = 32 × 1731

Prime Factorization of 1561

Prime factors of 1561 are 7, 223. Prime factorization of 1561 in exponential form is:

1561 = 71 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 1557 and 1561.

LCM(1557,1561) = 32 × 1731 × 71 × 2231
LCM(1557,1561) = 2430477