What is the Least Common Multiple of 61178 and 61194?

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 61178 and 61194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61178 and 61194, than apply into the LCM equation.

GCF(61178,61194) = 2
LCM(61178,61194) = ( 61178 × 61194) / 2
LCM(61178,61194) = 3743726532 / 2
LCM(61178,61194) = 1871863266

Least Common Multiple (LCM) of 61178 and 61194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61178 and 61194. First we will calculate the prime factors of 61178 and 61194.

Prime Factorization of 61178

Prime Factorization of 61194

Now multiplying the highest exponent prime factors to calculate the LCM of 61178 and 61194.

LCM(61178,61194) = 2¹ × 13² × 181¹ × 3¹ × 7¹ × 31¹ × 47¹
LCM(61178,61194) = 1871863266