What is the Least Common Multiple of 65775 and 65790?

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 65775 and 65790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65775 and 65790, than apply into the LCM equation.

GCF(65775,65790) = 15
LCM(65775,65790) = ( 65775 × 65790) / 15
LCM(65775,65790) = 4327337250 / 15
LCM(65775,65790) = 288489150

Least Common Multiple (LCM) of 65775 and 65790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65775 and 65790. First we will calculate the prime factors of 65775 and 65790.

Prime Factorization of 65775

Prime Factorization of 65790

Now multiplying the highest exponent prime factors to calculate the LCM of 65775 and 65790.

LCM(65775,65790) = 3² × 5² × 877¹ × 2¹ × 17¹ × 43¹
LCM(65775,65790) = 288489150