What is the Least Common Multiple of 68180 and 68194?

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 68180 and 68194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68180 and 68194, than apply into the LCM equation.

GCF(68180,68194) = 14
LCM(68180,68194) = ( 68180 × 68194) / 14
LCM(68180,68194) = 4649466920 / 14
LCM(68180,68194) = 332104780

Least Common Multiple (LCM) of 68180 and 68194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68180 and 68194. First we will calculate the prime factors of 68180 and 68194.

Prime Factorization of 68180

Prime Factorization of 68194

Now multiplying the highest exponent prime factors to calculate the LCM of 68180 and 68194.

LCM(68180,68194) = 2² × 5¹ × 7¹ × 487¹ × 4871¹
LCM(68180,68194) = 332104780