GCF and LCM Calculator Logo

What is the Least Common Multiple of 27193 and 27206?

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 27193 and 27206 is 739812758.

LCM(27193,27206) = 739812758

LCM Calculator and
and

Least Common Multiple of 27193 and 27206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27193 and 27206, than apply into the LCM equation.

GCF(27193,27206) = 1
LCM(27193,27206) = ( 27193 × 27206) / 1
LCM(27193,27206) = 739812758 / 1
LCM(27193,27206) = 739812758

Least Common Multiple (LCM) of 27193 and 27206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27193 and 27206. First we will calculate the prime factors of 27193 and 27206.

Prime Factorization of 27193

Prime factors of 27193 are 71, 383. Prime factorization of 27193 in exponential form is:

27193 = 711 × 3831

Prime Factorization of 27206

Prime factors of 27206 are 2, 61, 223. Prime factorization of 27206 in exponential form is:

27206 = 21 × 611 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 27193 and 27206.

LCM(27193,27206) = 711 × 3831 × 21 × 611 × 2231
LCM(27193,27206) = 739812758