GCF and LCM Calculator Logo

What is the Least Common Multiple of 56221 and 56235?

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 56221 and 56235 is 3161587935.

LCM(56221,56235) = 3161587935

LCM Calculator and
and

Least Common Multiple of 56221 and 56235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56221 and 56235, than apply into the LCM equation.

GCF(56221,56235) = 1
LCM(56221,56235) = ( 56221 × 56235) / 1
LCM(56221,56235) = 3161587935 / 1
LCM(56221,56235) = 3161587935

Least Common Multiple (LCM) of 56221 and 56235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56221 and 56235. First we will calculate the prime factors of 56221 and 56235.

Prime Factorization of 56221

Prime factors of 56221 are 11, 19, 269. Prime factorization of 56221 in exponential form is:

56221 = 111 × 191 × 2691

Prime Factorization of 56235

Prime factors of 56235 are 3, 5, 23, 163. Prime factorization of 56235 in exponential form is:

56235 = 31 × 51 × 231 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 56221 and 56235.

LCM(56221,56235) = 111 × 191 × 2691 × 31 × 51 × 231 × 1631
LCM(56221,56235) = 3161587935