What is the Least Common Multiple of 68194 and 68198?

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 68194 and 68198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68194 and 68198, than apply into the LCM equation.

GCF(68194,68198) = 2
LCM(68194,68198) = ( 68194 × 68198) / 2
LCM(68194,68198) = 4650694412 / 2
LCM(68194,68198) = 2325347206

Least Common Multiple (LCM) of 68194 and 68198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68194 and 68198. First we will calculate the prime factors of 68194 and 68198.

Prime Factorization of 68194

Prime Factorization of 68198

Now multiplying the highest exponent prime factors to calculate the LCM of 68194 and 68198.

LCM(68194,68198) = 2¹ × 7¹ × 4871¹ × 13¹ × 43¹ × 61¹
LCM(68194,68198) = 2325347206