What is the Least Common Multiple of 2050 and 2065?

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 2050 and 2065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2050 and 2065, than apply into the LCM equation.

GCF(2050,2065) = 5
LCM(2050,2065) = ( 2050 × 2065) / 5
LCM(2050,2065) = 4233250 / 5
LCM(2050,2065) = 846650

Least Common Multiple (LCM) of 2050 and 2065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2050 and 2065. First we will calculate the prime factors of 2050 and 2065.

Prime Factorization of 2050

Prime Factorization of 2065

Now multiplying the highest exponent prime factors to calculate the LCM of 2050 and 2065.

LCM(2050,2065) = 2¹ × 5² × 41¹ × 7¹ × 59¹
LCM(2050,2065) = 846650