What is the Least Common Multiple of 5578 and 5583?

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 5578 and 5583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5578 and 5583, than apply into the LCM equation.

GCF(5578,5583) = 1
LCM(5578,5583) = ( 5578 × 5583) / 1
LCM(5578,5583) = 31141974 / 1
LCM(5578,5583) = 31141974

Least Common Multiple (LCM) of 5578 and 5583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5578 and 5583. First we will calculate the prime factors of 5578 and 5583.

Prime Factorization of 5578

Prime Factorization of 5583

Now multiplying the highest exponent prime factors to calculate the LCM of 5578 and 5583.

LCM(5578,5583) = 2¹ × 2789¹ × 3¹ × 1861¹
LCM(5578,5583) = 31141974