GCF and LCM Calculator Logo

What is the Least Common Multiple of 27222 and 27235?

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 27222 and 27235 is 57030090.

LCM(27222,27235) = 57030090

LCM Calculator and
and

Least Common Multiple of 27222 and 27235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27222 and 27235, than apply into the LCM equation.

GCF(27222,27235) = 13
LCM(27222,27235) = ( 27222 × 27235) / 13
LCM(27222,27235) = 741391170 / 13
LCM(27222,27235) = 57030090

Least Common Multiple (LCM) of 27222 and 27235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27222 and 27235. First we will calculate the prime factors of 27222 and 27235.

Prime Factorization of 27222

Prime factors of 27222 are 2, 3, 13, 349. Prime factorization of 27222 in exponential form is:

27222 = 21 × 31 × 131 × 3491

Prime Factorization of 27235

Prime factors of 27235 are 5, 13, 419. Prime factorization of 27235 in exponential form is:

27235 = 51 × 131 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 27222 and 27235.

LCM(27222,27235) = 21 × 31 × 131 × 3491 × 51 × 4191
LCM(27222,27235) = 57030090