What is the Least Common Multiple of 17085 and 17101?

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 17085 and 17101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17085 and 17101, than apply into the LCM equation.

GCF(17085,17101) = 1
LCM(17085,17101) = ( 17085 × 17101) / 1
LCM(17085,17101) = 292170585 / 1
LCM(17085,17101) = 292170585

Least Common Multiple (LCM) of 17085 and 17101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17085 and 17101. First we will calculate the prime factors of 17085 and 17101.

Prime Factorization of 17085

Prime Factorization of 17101

Now multiplying the highest exponent prime factors to calculate the LCM of 17085 and 17101.

LCM(17085,17101) = 3¹ × 5¹ × 17¹ × 67¹ × 7² × 349¹
LCM(17085,17101) = 292170585