What is the Least Common Multiple of 8050 and 8065?

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 8050 and 8065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8050 and 8065, than apply into the LCM equation.

GCF(8050,8065) = 5
LCM(8050,8065) = ( 8050 × 8065) / 5
LCM(8050,8065) = 64923250 / 5
LCM(8050,8065) = 12984650

Least Common Multiple (LCM) of 8050 and 8065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8050 and 8065. First we will calculate the prime factors of 8050 and 8065.

Prime Factorization of 8050

Prime Factorization of 8065

Now multiplying the highest exponent prime factors to calculate the LCM of 8050 and 8065.

LCM(8050,8065) = 2¹ × 5² × 7¹ × 23¹ × 1613¹
LCM(8050,8065) = 12984650