What is the Least Common Multiple of 17710 and 17722?

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 17710 and 17722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17710 and 17722, than apply into the LCM equation.

GCF(17710,17722) = 2
LCM(17710,17722) = ( 17710 × 17722) / 2
LCM(17710,17722) = 313856620 / 2
LCM(17710,17722) = 156928310

Least Common Multiple (LCM) of 17710 and 17722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17710 and 17722. First we will calculate the prime factors of 17710 and 17722.

Prime Factorization of 17710

Prime Factorization of 17722

Now multiplying the highest exponent prime factors to calculate the LCM of 17710 and 17722.

LCM(17710,17722) = 2¹ × 5¹ × 7¹ × 11¹ × 23¹ × 8861¹
LCM(17710,17722) = 156928310