What is the Least Common Multiple of 65774 and 65794?

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 65774 and 65794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65774 and 65794, than apply into the LCM equation.

GCF(65774,65794) = 2
LCM(65774,65794) = ( 65774 × 65794) / 2
LCM(65774,65794) = 4327534556 / 2
LCM(65774,65794) = 2163767278

Least Common Multiple (LCM) of 65774 and 65794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65774 and 65794. First we will calculate the prime factors of 65774 and 65794.

Prime Factorization of 65774

Prime Factorization of 65794

Now multiplying the highest exponent prime factors to calculate the LCM of 65774 and 65794.

LCM(65774,65794) = 2¹ × 32887¹ × 67¹ × 491¹
LCM(65774,65794) = 2163767278