What is the Least Common Multiple of 55055 and 55065?

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 55055 and 55065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55055 and 55065, than apply into the LCM equation.

GCF(55055,55065) = 5
LCM(55055,55065) = ( 55055 × 55065) / 5
LCM(55055,55065) = 3031603575 / 5
LCM(55055,55065) = 606320715

Least Common Multiple (LCM) of 55055 and 55065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55055 and 55065. First we will calculate the prime factors of 55055 and 55065.

Prime Factorization of 55055

Prime Factorization of 55065

Now multiplying the highest exponent prime factors to calculate the LCM of 55055 and 55065.

LCM(55055,55065) = 5¹ × 7¹ × 11² × 13¹ × 3¹ × 3671¹
LCM(55055,55065) = 606320715