What is the Least Common Multiple of 61168 and 61181?

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 61168 and 61181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61168 and 61181, than apply into the LCM equation.

GCF(61168,61181) = 1
LCM(61168,61181) = ( 61168 × 61181) / 1
LCM(61168,61181) = 3742319408 / 1
LCM(61168,61181) = 3742319408

Least Common Multiple (LCM) of 61168 and 61181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61168 and 61181. First we will calculate the prime factors of 61168 and 61181.

Prime Factorization of 61168

Prime Factorization of 61181

Now multiplying the highest exponent prime factors to calculate the LCM of 61168 and 61181.

LCM(61168,61181) = 2⁴ × 3823¹ × 193¹ × 317¹
LCM(61168,61181) = 3742319408