What is the Least Common Multiple of 17665 and 17682?

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 17665 and 17682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17665 and 17682, than apply into the LCM equation.

GCF(17665,17682) = 1
LCM(17665,17682) = ( 17665 × 17682) / 1
LCM(17665,17682) = 312352530 / 1
LCM(17665,17682) = 312352530

Least Common Multiple (LCM) of 17665 and 17682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17665 and 17682. First we will calculate the prime factors of 17665 and 17682.

Prime Factorization of 17665

Prime Factorization of 17682

Now multiplying the highest exponent prime factors to calculate the LCM of 17665 and 17682.

LCM(17665,17682) = 5¹ × 3533¹ × 2¹ × 3¹ × 7¹ × 421¹
LCM(17665,17682) = 312352530