What is the Least Common Multiple of 23050 and 23065?

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 23050 and 23065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23050 and 23065, than apply into the LCM equation.

GCF(23050,23065) = 5
LCM(23050,23065) = ( 23050 × 23065) / 5
LCM(23050,23065) = 531648250 / 5
LCM(23050,23065) = 106329650

Least Common Multiple (LCM) of 23050 and 23065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23050 and 23065. First we will calculate the prime factors of 23050 and 23065.

Prime Factorization of 23050

Prime Factorization of 23065

Now multiplying the highest exponent prime factors to calculate the LCM of 23050 and 23065.

LCM(23050,23065) = 2¹ × 5² × 461¹ × 7¹ × 659¹
LCM(23050,23065) = 106329650