What is the Least Common Multiple of 5565 and 5574?

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 5565 and 5574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5565 and 5574, than apply into the LCM equation.

GCF(5565,5574) = 3
LCM(5565,5574) = ( 5565 × 5574) / 3
LCM(5565,5574) = 31019310 / 3
LCM(5565,5574) = 10339770

Least Common Multiple (LCM) of 5565 and 5574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5565 and 5574. First we will calculate the prime factors of 5565 and 5574.

Prime Factorization of 5565

Prime Factorization of 5574

Now multiplying the highest exponent prime factors to calculate the LCM of 5565 and 5574.

LCM(5565,5574) = 3¹ × 5¹ × 7¹ × 53¹ × 2¹ × 929¹
LCM(5565,5574) = 10339770