What is the Least Common Multiple of 17744 and 17759?

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 17744 and 17759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17744 and 17759, than apply into the LCM equation.

GCF(17744,17759) = 1
LCM(17744,17759) = ( 17744 × 17759) / 1
LCM(17744,17759) = 315115696 / 1
LCM(17744,17759) = 315115696

Least Common Multiple (LCM) of 17744 and 17759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17744 and 17759. First we will calculate the prime factors of 17744 and 17759.

Prime Factorization of 17744

Prime Factorization of 17759

Now multiplying the highest exponent prime factors to calculate the LCM of 17744 and 17759.

LCM(17744,17759) = 2⁴ × 1109¹ × 7¹ × 43¹ × 59¹
LCM(17744,17759) = 315115696