What is the Least Common Multiple of 61144 and 61162?

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 61144 and 61162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61144 and 61162, than apply into the LCM equation.

GCF(61144,61162) = 2
LCM(61144,61162) = ( 61144 × 61162) / 2
LCM(61144,61162) = 3739689328 / 2
LCM(61144,61162) = 1869844664

Least Common Multiple (LCM) of 61144 and 61162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61144 and 61162. First we will calculate the prime factors of 61144 and 61162.

Prime Factorization of 61144

Prime Factorization of 61162

Now multiplying the highest exponent prime factors to calculate the LCM of 61144 and 61162.

LCM(61144,61162) = 2³ × 7643¹ × 53¹ × 577¹
LCM(61144,61162) = 1869844664