What is the Least Common Multiple of 61173 and 61193?

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 61173 and 61193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61173 and 61193, than apply into the LCM equation.

GCF(61173,61193) = 1
LCM(61173,61193) = ( 61173 × 61193) / 1
LCM(61173,61193) = 3743359389 / 1
LCM(61173,61193) = 3743359389

Least Common Multiple (LCM) of 61173 and 61193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61173 and 61193. First we will calculate the prime factors of 61173 and 61193.

Prime Factorization of 61173

Prime Factorization of 61193

Now multiplying the highest exponent prime factors to calculate the LCM of 61173 and 61193.

LCM(61173,61193) = 3² × 7¹ × 971¹ × 11¹ × 5563¹
LCM(61173,61193) = 3743359389