What is the Least Common Multiple of 64226 and 64238?

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 64226 and 64238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64226 and 64238, than apply into the LCM equation.

GCF(64226,64238) = 2
LCM(64226,64238) = ( 64226 × 64238) / 2
LCM(64226,64238) = 4125749788 / 2
LCM(64226,64238) = 2062874894

Least Common Multiple (LCM) of 64226 and 64238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64226 and 64238. First we will calculate the prime factors of 64226 and 64238.

Prime Factorization of 64226

Prime Factorization of 64238

Now multiplying the highest exponent prime factors to calculate the LCM of 64226 and 64238.

LCM(64226,64238) = 2¹ × 17¹ × 1889¹ × 32119¹
LCM(64226,64238) = 2062874894