GCF and LCM Calculator Logo

What is the Least Common Multiple of 68238 and 68243?

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 (LCM) of 68238 and 68243 is 4656765834.

LCM(68238,68243) = 4656765834

LCM Calculator and
and

Least Common Multiple of 68238 and 68243 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 68243, than apply into the LCM equation.

GCF(68238,68243) = 1
LCM(68238,68243) = ( 68238 × 68243) / 1
LCM(68238,68243) = 4656765834 / 1
LCM(68238,68243) = 4656765834

Least Common Multiple (LCM) of 68238 and 68243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68238 and 68243. First we will calculate the prime factors of 68238 and 68243.

Prime Factorization of 68238

Prime factors of 68238 are 2, 3, 17, 223. Prime factorization of 68238 in exponential form is:

68238 = 21 × 32 × 171 × 2231

Prime Factorization of 68243

Prime factors of 68243 are 7, 9749. Prime factorization of 68243 in exponential form is:

68243 = 71 × 97491

Now multiplying the highest exponent prime factors to calculate the LCM of 68238 and 68243.

LCM(68238,68243) = 21 × 32 × 171 × 2231 × 71 × 97491
LCM(68238,68243) = 4656765834