What is the Least Common Multiple of 10705 and 10714?

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 10714 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 10714, than apply into the LCM equation.

GCF(10705,10714) = 1
LCM(10705,10714) = ( 10705 × 10714) / 1
LCM(10705,10714) = 114693370 / 1
LCM(10705,10714) = 114693370

Least Common Multiple (LCM) of 10705 and 10714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10705 and 10714. First we will calculate the prime factors of 10705 and 10714.

Prime Factorization of 10705

Prime Factorization of 10714

Now multiplying the highest exponent prime factors to calculate the LCM of 10705 and 10714.

LCM(10705,10714) = 5¹ × 2141¹ × 2¹ × 11¹ × 487¹
LCM(10705,10714) = 114693370