What is the Least Common Multiple of 5550 and 5565?

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 5550 and 5565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5550 and 5565, than apply into the LCM equation.

GCF(5550,5565) = 15
LCM(5550,5565) = ( 5550 × 5565) / 15
LCM(5550,5565) = 30885750 / 15
LCM(5550,5565) = 2059050

Least Common Multiple (LCM) of 5550 and 5565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5550 and 5565. First we will calculate the prime factors of 5550 and 5565.

Prime Factorization of 5550

Prime Factorization of 5565

Now multiplying the highest exponent prime factors to calculate the LCM of 5550 and 5565.

LCM(5550,5565) = 2¹ × 3¹ × 5² × 37¹ × 7¹ × 53¹
LCM(5550,5565) = 2059050