What is the Least Common Multiple of 17678 and 17685?

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 17678 and 17685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17678 and 17685, than apply into the LCM equation.

GCF(17678,17685) = 1
LCM(17678,17685) = ( 17678 × 17685) / 1
LCM(17678,17685) = 312635430 / 1
LCM(17678,17685) = 312635430

Least Common Multiple (LCM) of 17678 and 17685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17678 and 17685. First we will calculate the prime factors of 17678 and 17685.

Prime Factorization of 17678

Prime Factorization of 17685

Now multiplying the highest exponent prime factors to calculate the LCM of 17678 and 17685.

LCM(17678,17685) = 2¹ × 8839¹ × 3³ × 5¹ × 131¹
LCM(17678,17685) = 312635430