GCF and LCM Calculator Logo

What is the Least Common Multiple of 27322 and 27330?

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 27322 and 27330 is 373355130.

LCM(27322,27330) = 373355130

LCM Calculator and
and

Least Common Multiple of 27322 and 27330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27322 and 27330, than apply into the LCM equation.

GCF(27322,27330) = 2
LCM(27322,27330) = ( 27322 × 27330) / 2
LCM(27322,27330) = 746710260 / 2
LCM(27322,27330) = 373355130

Least Common Multiple (LCM) of 27322 and 27330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27322 and 27330. First we will calculate the prime factors of 27322 and 27330.

Prime Factorization of 27322

Prime factors of 27322 are 2, 19, 719. Prime factorization of 27322 in exponential form is:

27322 = 21 × 191 × 7191

Prime Factorization of 27330

Prime factors of 27330 are 2, 3, 5, 911. Prime factorization of 27330 in exponential form is:

27330 = 21 × 31 × 51 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 27322 and 27330.

LCM(27322,27330) = 21 × 191 × 7191 × 31 × 51 × 9111
LCM(27322,27330) = 373355130