What is the Least Common Multiple of 5535 and 5549?

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 5535 and 5549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5535 and 5549, than apply into the LCM equation.

GCF(5535,5549) = 1
LCM(5535,5549) = ( 5535 × 5549) / 1
LCM(5535,5549) = 30713715 / 1
LCM(5535,5549) = 30713715

Least Common Multiple (LCM) of 5535 and 5549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5535 and 5549. First we will calculate the prime factors of 5535 and 5549.

Prime Factorization of 5535

Prime Factorization of 5549

Now multiplying the highest exponent prime factors to calculate the LCM of 5535 and 5549.

LCM(5535,5549) = 3³ × 5¹ × 41¹ × 31¹ × 179¹
LCM(5535,5549) = 30713715