What is the Least Common Multiple of 55345 and 55350?

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 55345 and 55350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55345 and 55350, than apply into the LCM equation.

GCF(55345,55350) = 5
LCM(55345,55350) = ( 55345 × 55350) / 5
LCM(55345,55350) = 3063345750 / 5
LCM(55345,55350) = 612669150

Least Common Multiple (LCM) of 55345 and 55350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55345 and 55350. First we will calculate the prime factors of 55345 and 55350.

Prime Factorization of 55345

Prime Factorization of 55350

Now multiplying the highest exponent prime factors to calculate the LCM of 55345 and 55350.

LCM(55345,55350) = 5² × 11069¹ × 2¹ × 3³ × 41¹
LCM(55345,55350) = 612669150