What is the Least Common Multiple of 55644 and 55650?

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 55644 and 55650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55644 and 55650, than apply into the LCM equation.

GCF(55644,55650) = 6
LCM(55644,55650) = ( 55644 × 55650) / 6
LCM(55644,55650) = 3096588600 / 6
LCM(55644,55650) = 516098100

Least Common Multiple (LCM) of 55644 and 55650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55644 and 55650. First we will calculate the prime factors of 55644 and 55650.

Prime Factorization of 55644

Prime Factorization of 55650

Now multiplying the highest exponent prime factors to calculate the LCM of 55644 and 55650.

LCM(55644,55650) = 2² × 3¹ × 4637¹ × 5² × 7¹ × 53¹
LCM(55644,55650) = 516098100