GCF and LCM Calculator Logo

What is the Least Common Multiple of 27210 and 27214?

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 27210 and 27214 is 370246470.

LCM(27210,27214) = 370246470

LCM Calculator and
and

Least Common Multiple of 27210 and 27214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27210 and 27214, than apply into the LCM equation.

GCF(27210,27214) = 2
LCM(27210,27214) = ( 27210 × 27214) / 2
LCM(27210,27214) = 740492940 / 2
LCM(27210,27214) = 370246470

Least Common Multiple (LCM) of 27210 and 27214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27210 and 27214. First we will calculate the prime factors of 27210 and 27214.

Prime Factorization of 27210

Prime factors of 27210 are 2, 3, 5, 907. Prime factorization of 27210 in exponential form is:

27210 = 21 × 31 × 51 × 9071

Prime Factorization of 27214

Prime factors of 27214 are 2, 11, 1237. Prime factorization of 27214 in exponential form is:

27214 = 21 × 111 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 27210 and 27214.

LCM(27210,27214) = 21 × 31 × 51 × 9071 × 111 × 12371
LCM(27210,27214) = 370246470