What is the Least Common Multiple of 65790 and 65807?

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 65790 and 65807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65790 and 65807, than apply into the LCM equation.

GCF(65790,65807) = 17
LCM(65790,65807) = ( 65790 × 65807) / 17
LCM(65790,65807) = 4329442530 / 17
LCM(65790,65807) = 254673090

Least Common Multiple (LCM) of 65790 and 65807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65790 and 65807. First we will calculate the prime factors of 65790 and 65807.

Prime Factorization of 65790

Prime Factorization of 65807

Now multiplying the highest exponent prime factors to calculate the LCM of 65790 and 65807.

LCM(65790,65807) = 2¹ × 3² × 5¹ × 17¹ × 43¹ × 7² × 79¹
LCM(65790,65807) = 254673090