GCF and LCM Calculator Logo

What is the Least Common Multiple of 56195 and 56212?

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 56195 and 56212 is 3158833340.

LCM(56195,56212) = 3158833340

LCM Calculator and
and

Least Common Multiple of 56195 and 56212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56195 and 56212, than apply into the LCM equation.

GCF(56195,56212) = 1
LCM(56195,56212) = ( 56195 × 56212) / 1
LCM(56195,56212) = 3158833340 / 1
LCM(56195,56212) = 3158833340

Least Common Multiple (LCM) of 56195 and 56212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56195 and 56212. First we will calculate the prime factors of 56195 and 56212.

Prime Factorization of 56195

Prime factors of 56195 are 5, 11239. Prime factorization of 56195 in exponential form is:

56195 = 51 × 112391

Prime Factorization of 56212

Prime factors of 56212 are 2, 13, 23, 47. Prime factorization of 56212 in exponential form is:

56212 = 22 × 131 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 56195 and 56212.

LCM(56195,56212) = 51 × 112391 × 22 × 131 × 231 × 471
LCM(56195,56212) = 3158833340