What is the Least Common Multiple of 5556 and 5562?

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 5556 and 5562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5556 and 5562, than apply into the LCM equation.

GCF(5556,5562) = 6
LCM(5556,5562) = ( 5556 × 5562) / 6
LCM(5556,5562) = 30902472 / 6
LCM(5556,5562) = 5150412

Least Common Multiple (LCM) of 5556 and 5562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5556 and 5562. First we will calculate the prime factors of 5556 and 5562.

Prime Factorization of 5556

Prime Factorization of 5562

Now multiplying the highest exponent prime factors to calculate the LCM of 5556 and 5562.

LCM(5556,5562) = 2² × 3³ × 463¹ × 103¹
LCM(5556,5562) = 5150412