What is the Least Common Multiple of 61158 and 61173?

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 61158 and 61173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61158 and 61173, than apply into the LCM equation.

GCF(61158,61173) = 3
LCM(61158,61173) = ( 61158 × 61173) / 3
LCM(61158,61173) = 3741218334 / 3
LCM(61158,61173) = 1247072778

Least Common Multiple (LCM) of 61158 and 61173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61158 and 61173. First we will calculate the prime factors of 61158 and 61173.

Prime Factorization of 61158

Prime Factorization of 61173

Now multiplying the highest exponent prime factors to calculate the LCM of 61158 and 61173.

LCM(61158,61173) = 2¹ × 3² × 10193¹ × 7¹ × 971¹
LCM(61158,61173) = 1247072778