GCF and LCM Calculator Logo

What is the Least Common Multiple of 7211 and 7231?

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 7211 and 7231 is 52142741.

LCM(7211,7231) = 52142741

LCM Calculator and
and

Least Common Multiple of 7211 and 7231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7211 and 7231, than apply into the LCM equation.

GCF(7211,7231) = 1
LCM(7211,7231) = ( 7211 × 7231) / 1
LCM(7211,7231) = 52142741 / 1
LCM(7211,7231) = 52142741

Least Common Multiple (LCM) of 7211 and 7231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7211 and 7231. First we will calculate the prime factors of 7211 and 7231.

Prime Factorization of 7211

Prime factors of 7211 are 7211. Prime factorization of 7211 in exponential form is:

7211 = 72111

Prime Factorization of 7231

Prime factors of 7231 are 7, 1033. Prime factorization of 7231 in exponential form is:

7231 = 71 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 7211 and 7231.

LCM(7211,7231) = 72111 × 71 × 10331
LCM(7211,7231) = 52142741