What is the Least Common Multiple of 5549 and 5561?

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 5549 and 5561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5549 and 5561, than apply into the LCM equation.

GCF(5549,5561) = 1
LCM(5549,5561) = ( 5549 × 5561) / 1
LCM(5549,5561) = 30857989 / 1
LCM(5549,5561) = 30857989

Least Common Multiple (LCM) of 5549 and 5561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5549 and 5561. First we will calculate the prime factors of 5549 and 5561.

Prime Factorization of 5549

Prime Factorization of 5561

Now multiplying the highest exponent prime factors to calculate the LCM of 5549 and 5561.

LCM(5549,5561) = 31¹ × 179¹ × 67¹ × 83¹
LCM(5549,5561) = 30857989