What is the Least Common Multiple of 47193 and 47198?

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 47193 and 47198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47193 and 47198, than apply into the LCM equation.

GCF(47193,47198) = 1
LCM(47193,47198) = ( 47193 × 47198) / 1
LCM(47193,47198) = 2227415214 / 1
LCM(47193,47198) = 2227415214

Least Common Multiple (LCM) of 47193 and 47198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47193 and 47198. First we will calculate the prime factors of 47193 and 47198.

Prime Factorization of 47193

Prime Factorization of 47198

Now multiplying the highest exponent prime factors to calculate the LCM of 47193 and 47198.

LCM(47193,47198) = 3¹ × 15731¹ × 2¹ × 23599¹
LCM(47193,47198) = 2227415214