What is the Least Common Multiple of 10705 and 10722?

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 10722 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 10722, than apply into the LCM equation.

GCF(10705,10722) = 1
LCM(10705,10722) = ( 10705 × 10722) / 1
LCM(10705,10722) = 114779010 / 1
LCM(10705,10722) = 114779010

Least Common Multiple (LCM) of 10705 and 10722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10705 and 10722. First we will calculate the prime factors of 10705 and 10722.

Prime Factorization of 10705

Prime Factorization of 10722

Now multiplying the highest exponent prime factors to calculate the LCM of 10705 and 10722.

LCM(10705,10722) = 5¹ × 2141¹ × 2¹ × 3¹ × 1787¹
LCM(10705,10722) = 114779010