What is the Least Common Multiple of 17724 and 17735?

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 17724 and 17735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17724 and 17735, than apply into the LCM equation.

GCF(17724,17735) = 1
LCM(17724,17735) = ( 17724 × 17735) / 1
LCM(17724,17735) = 314335140 / 1
LCM(17724,17735) = 314335140

Least Common Multiple (LCM) of 17724 and 17735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17724 and 17735. First we will calculate the prime factors of 17724 and 17735.

Prime Factorization of 17724

Prime Factorization of 17735

Now multiplying the highest exponent prime factors to calculate the LCM of 17724 and 17735.

LCM(17724,17735) = 2² × 3¹ × 7¹ × 211¹ × 5¹ × 3547¹
LCM(17724,17735) = 314335140