What is the Least Common Multiple of 68238 and 68254?

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 68238 and 68254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68238 and 68254, than apply into the LCM equation.

GCF(68238,68254) = 2
LCM(68238,68254) = ( 68238 × 68254) / 2
LCM(68238,68254) = 4657516452 / 2
LCM(68238,68254) = 2328758226

Least Common Multiple (LCM) of 68238 and 68254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68238 and 68254. First we will calculate the prime factors of 68238 and 68254.

Prime Factorization of 68238

Prime Factorization of 68254

Now multiplying the highest exponent prime factors to calculate the LCM of 68238 and 68254.

LCM(68238,68254) = 2¹ × 3² × 17¹ × 223¹ × 34127¹
LCM(68238,68254) = 2328758226