What is the Least Common Multiple of 17540 and 17554?

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 17540 and 17554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17540 and 17554, than apply into the LCM equation.

GCF(17540,17554) = 2
LCM(17540,17554) = ( 17540 × 17554) / 2
LCM(17540,17554) = 307897160 / 2
LCM(17540,17554) = 153948580

Least Common Multiple (LCM) of 17540 and 17554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17540 and 17554. First we will calculate the prime factors of 17540 and 17554.

Prime Factorization of 17540

Prime Factorization of 17554

Now multiplying the highest exponent prime factors to calculate the LCM of 17540 and 17554.

LCM(17540,17554) = 2² × 5¹ × 877¹ × 67¹ × 131¹
LCM(17540,17554) = 153948580