What is the Least Common Multiple of 64206 and 64226?

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 64206 and 64226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64206 and 64226, than apply into the LCM equation.

GCF(64206,64226) = 2
LCM(64206,64226) = ( 64206 × 64226) / 2
LCM(64206,64226) = 4123694556 / 2
LCM(64206,64226) = 2061847278

Least Common Multiple (LCM) of 64206 and 64226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64206 and 64226. First we will calculate the prime factors of 64206 and 64226.

Prime Factorization of 64206

Prime Factorization of 64226

Now multiplying the highest exponent prime factors to calculate the LCM of 64206 and 64226.

LCM(64206,64226) = 2¹ × 3³ × 29¹ × 41¹ × 17¹ × 1889¹
LCM(64206,64226) = 2061847278