What is the Least Common Multiple of 23035 and 23055?

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 23035 and 23055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23035 and 23055, than apply into the LCM equation.

GCF(23035,23055) = 5
LCM(23035,23055) = ( 23035 × 23055) / 5
LCM(23035,23055) = 531071925 / 5
LCM(23035,23055) = 106214385

Least Common Multiple (LCM) of 23035 and 23055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23035 and 23055. First we will calculate the prime factors of 23035 and 23055.

Prime Factorization of 23035

Prime Factorization of 23055

Now multiplying the highest exponent prime factors to calculate the LCM of 23035 and 23055.

LCM(23035,23055) = 5¹ × 17¹ × 271¹ × 3¹ × 29¹ × 53¹
LCM(23035,23055) = 106214385