What is the Least Common Multiple of 5538 and 5550?

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 5538 and 5550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5538 and 5550, than apply into the LCM equation.

GCF(5538,5550) = 6
LCM(5538,5550) = ( 5538 × 5550) / 6
LCM(5538,5550) = 30735900 / 6
LCM(5538,5550) = 5122650

Least Common Multiple (LCM) of 5538 and 5550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5538 and 5550. First we will calculate the prime factors of 5538 and 5550.

Prime Factorization of 5538

Prime Factorization of 5550

Now multiplying the highest exponent prime factors to calculate the LCM of 5538 and 5550.

LCM(5538,5550) = 2¹ × 3¹ × 13¹ × 71¹ × 5² × 37¹
LCM(5538,5550) = 5122650