What is the Least Common Multiple of 5517 and 5535?

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 5517 and 5535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5517 and 5535, than apply into the LCM equation.

GCF(5517,5535) = 9
LCM(5517,5535) = ( 5517 × 5535) / 9
LCM(5517,5535) = 30536595 / 9
LCM(5517,5535) = 3392955

Least Common Multiple (LCM) of 5517 and 5535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5517 and 5535. First we will calculate the prime factors of 5517 and 5535.

Prime Factorization of 5517

Prime Factorization of 5535

Now multiplying the highest exponent prime factors to calculate the LCM of 5517 and 5535.

LCM(5517,5535) = 3³ × 613¹ × 5¹ × 41¹
LCM(5517,5535) = 3392955