What is the Least Common Multiple of 17540 and 17546?

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 17546 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 17546, than apply into the LCM equation.

GCF(17540,17546) = 2
LCM(17540,17546) = ( 17540 × 17546) / 2
LCM(17540,17546) = 307756840 / 2
LCM(17540,17546) = 153878420

Least Common Multiple (LCM) of 17540 and 17546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17540 and 17546. First we will calculate the prime factors of 17540 and 17546.

Prime Factorization of 17540

Prime Factorization of 17546

Now multiplying the highest exponent prime factors to calculate the LCM of 17540 and 17546.

LCM(17540,17546) = 2² × 5¹ × 877¹ × 31¹ × 283¹
LCM(17540,17546) = 153878420