What is the Least Common Multiple of 68229 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 of 68229 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 68229 and 68243, than apply into the LCM equation.

GCF(68229,68243) = 7
LCM(68229,68243) = ( 68229 × 68243) / 7
LCM(68229,68243) = 4656151647 / 7
LCM(68229,68243) = 665164521

Least Common Multiple (LCM) of 68229 and 68243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68229 and 68243. First we will calculate the prime factors of 68229 and 68243.

Prime Factorization of 68229

Prime Factorization of 68243

Now multiplying the highest exponent prime factors to calculate the LCM of 68229 and 68243.

LCM(68229,68243) = 3³ × 7¹ × 19² × 9749¹
LCM(68229,68243) = 665164521