What is the Least Common Multiple of 17685 and 17704?

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 17685 and 17704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17685 and 17704, than apply into the LCM equation.

GCF(17685,17704) = 1
LCM(17685,17704) = ( 17685 × 17704) / 1
LCM(17685,17704) = 313095240 / 1
LCM(17685,17704) = 313095240

Least Common Multiple (LCM) of 17685 and 17704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17685 and 17704. First we will calculate the prime factors of 17685 and 17704.

Prime Factorization of 17685

Prime Factorization of 17704

Now multiplying the highest exponent prime factors to calculate the LCM of 17685 and 17704.

LCM(17685,17704) = 3³ × 5¹ × 131¹ × 2³ × 2213¹
LCM(17685,17704) = 313095240