What is the Least Common Multiple of 10705 and 10712?

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 of 10705 and 10712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10705 and 10712, than apply into the LCM equation.

GCF(10705,10712) = 1
LCM(10705,10712) = ( 10705 × 10712) / 1
LCM(10705,10712) = 114671960 / 1
LCM(10705,10712) = 114671960

Least Common Multiple (LCM) of 10705 and 10712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10705 and 10712. First we will calculate the prime factors of 10705 and 10712.

Prime Factorization of 10705

Prime Factorization of 10712

Now multiplying the highest exponent prime factors to calculate the LCM of 10705 and 10712.

LCM(10705,10712) = 5¹ × 2141¹ × 2³ × 13¹ × 103¹
LCM(10705,10712) = 114671960