What is the Least Common Multiple of 17730 and 17744?

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 17730 and 17744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17730 and 17744, than apply into the LCM equation.

GCF(17730,17744) = 2
LCM(17730,17744) = ( 17730 × 17744) / 2
LCM(17730,17744) = 314601120 / 2
LCM(17730,17744) = 157300560

Least Common Multiple (LCM) of 17730 and 17744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17730 and 17744. First we will calculate the prime factors of 17730 and 17744.

Prime Factorization of 17730

Prime Factorization of 17744

Now multiplying the highest exponent prime factors to calculate the LCM of 17730 and 17744.

LCM(17730,17744) = 2⁴ × 3² × 5¹ × 197¹ × 1109¹
LCM(17730,17744) = 157300560