What is the Least Common Multiple of 10705 and 10716?

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 10716 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 10716, than apply into the LCM equation.

GCF(10705,10716) = 1
LCM(10705,10716) = ( 10705 × 10716) / 1
LCM(10705,10716) = 114714780 / 1
LCM(10705,10716) = 114714780

Least Common Multiple (LCM) of 10705 and 10716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10705 and 10716. First we will calculate the prime factors of 10705 and 10716.

Prime Factorization of 10705

Prime Factorization of 10716

Now multiplying the highest exponent prime factors to calculate the LCM of 10705 and 10716.

LCM(10705,10716) = 5¹ × 2141¹ × 2² × 3¹ × 19¹ × 47¹
LCM(10705,10716) = 114714780