GCF and LCM Calculator Logo

What is the Least Common Multiple of 27324 and 27335?

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 27324 and 27335 is 67900140.

LCM(27324,27335) = 67900140

LCM Calculator and
and

Least Common Multiple of 27324 and 27335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27324 and 27335, than apply into the LCM equation.

GCF(27324,27335) = 11
LCM(27324,27335) = ( 27324 × 27335) / 11
LCM(27324,27335) = 746901540 / 11
LCM(27324,27335) = 67900140

Least Common Multiple (LCM) of 27324 and 27335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27324 and 27335. First we will calculate the prime factors of 27324 and 27335.

Prime Factorization of 27324

Prime factors of 27324 are 2, 3, 11, 23. Prime factorization of 27324 in exponential form is:

27324 = 22 × 33 × 111 × 231

Prime Factorization of 27335

Prime factors of 27335 are 5, 7, 11, 71. Prime factorization of 27335 in exponential form is:

27335 = 51 × 71 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 27324 and 27335.

LCM(27324,27335) = 22 × 33 × 111 × 231 × 51 × 71 × 711
LCM(27324,27335) = 67900140