What is the Least Common Multiple of 17545 and 17562?

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 17545 and 17562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17545 and 17562, than apply into the LCM equation.

GCF(17545,17562) = 1
LCM(17545,17562) = ( 17545 × 17562) / 1
LCM(17545,17562) = 308125290 / 1
LCM(17545,17562) = 308125290

Least Common Multiple (LCM) of 17545 and 17562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17545 and 17562. First we will calculate the prime factors of 17545 and 17562.

Prime Factorization of 17545

Prime Factorization of 17562

Now multiplying the highest exponent prime factors to calculate the LCM of 17545 and 17562.

LCM(17545,17562) = 5¹ × 11² × 29¹ × 2¹ × 3¹ × 2927¹
LCM(17545,17562) = 308125290