What is the Least Common Multiple of 17074 and 17085?

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 17074 and 17085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17074 and 17085, than apply into the LCM equation.

GCF(17074,17085) = 1
LCM(17074,17085) = ( 17074 × 17085) / 1
LCM(17074,17085) = 291709290 / 1
LCM(17074,17085) = 291709290

Least Common Multiple (LCM) of 17074 and 17085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17074 and 17085. First we will calculate the prime factors of 17074 and 17085.

Prime Factorization of 17074

Prime Factorization of 17085

Now multiplying the highest exponent prime factors to calculate the LCM of 17074 and 17085.

LCM(17074,17085) = 2¹ × 8537¹ × 3¹ × 5¹ × 17¹ × 67¹
LCM(17074,17085) = 291709290