GCF and LCM Calculator Logo

What is the Least Common Multiple of 27705 and 27712?

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 27705 and 27712 is 767760960.

LCM(27705,27712) = 767760960

LCM Calculator and
and

Least Common Multiple of 27705 and 27712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27705 and 27712, than apply into the LCM equation.

GCF(27705,27712) = 1
LCM(27705,27712) = ( 27705 × 27712) / 1
LCM(27705,27712) = 767760960 / 1
LCM(27705,27712) = 767760960

Least Common Multiple (LCM) of 27705 and 27712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27705 and 27712. First we will calculate the prime factors of 27705 and 27712.

Prime Factorization of 27705

Prime factors of 27705 are 3, 5, 1847. Prime factorization of 27705 in exponential form is:

27705 = 31 × 51 × 18471

Prime Factorization of 27712

Prime factors of 27712 are 2, 433. Prime factorization of 27712 in exponential form is:

27712 = 26 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 27705 and 27712.

LCM(27705,27712) = 31 × 51 × 18471 × 26 × 4331
LCM(27705,27712) = 767760960