What is the Least Common Multiple of 68193 and 68201?

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 68193 and 68201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68193 and 68201, than apply into the LCM equation.

GCF(68193,68201) = 1
LCM(68193,68201) = ( 68193 × 68201) / 1
LCM(68193,68201) = 4650830793 / 1
LCM(68193,68201) = 4650830793

Least Common Multiple (LCM) of 68193 and 68201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68193 and 68201. First we will calculate the prime factors of 68193 and 68201.

Prime Factorization of 68193

Prime Factorization of 68201

Now multiplying the highest exponent prime factors to calculate the LCM of 68193 and 68201.

LCM(68193,68201) = 3² × 7577¹ × 7¹ × 9743¹
LCM(68193,68201) = 4650830793