What is the Least Common Multiple of 63193 and 63198?

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 63193 and 63198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63193 and 63198, than apply into the LCM equation.

GCF(63193,63198) = 1
LCM(63193,63198) = ( 63193 × 63198) / 1
LCM(63193,63198) = 3993671214 / 1
LCM(63193,63198) = 3993671214

Least Common Multiple (LCM) of 63193 and 63198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63193 and 63198. First we will calculate the prime factors of 63193 and 63198.

Prime Factorization of 63193

Prime Factorization of 63198

Now multiplying the highest exponent prime factors to calculate the LCM of 63193 and 63198.

LCM(63193,63198) = 13¹ × 4861¹ × 2¹ × 3² × 3511¹
LCM(63193,63198) = 3993671214