GCF and LCM Calculator Logo

What is the Least Common Multiple of 2241 and 2261?

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 2241 and 2261 is 5066901.

LCM(2241,2261) = 5066901

LCM Calculator and
and

Least Common Multiple of 2241 and 2261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2241 and 2261, than apply into the LCM equation.

GCF(2241,2261) = 1
LCM(2241,2261) = ( 2241 × 2261) / 1
LCM(2241,2261) = 5066901 / 1
LCM(2241,2261) = 5066901

Least Common Multiple (LCM) of 2241 and 2261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2241 and 2261. First we will calculate the prime factors of 2241 and 2261.

Prime Factorization of 2241

Prime factors of 2241 are 3, 83. Prime factorization of 2241 in exponential form is:

2241 = 33 × 831

Prime Factorization of 2261

Prime factors of 2261 are 7, 17, 19. Prime factorization of 2261 in exponential form is:

2261 = 71 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 2241 and 2261.

LCM(2241,2261) = 33 × 831 × 71 × 171 × 191
LCM(2241,2261) = 5066901