What is the Least Common Multiple of 58164 and 58178?

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 58164 and 58178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58164 and 58178, than apply into the LCM equation.

GCF(58164,58178) = 2
LCM(58164,58178) = ( 58164 × 58178) / 2
LCM(58164,58178) = 3383865192 / 2
LCM(58164,58178) = 1691932596

Least Common Multiple (LCM) of 58164 and 58178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58164 and 58178. First we will calculate the prime factors of 58164 and 58178.

Prime Factorization of 58164

Prime Factorization of 58178

Now multiplying the highest exponent prime factors to calculate the LCM of 58164 and 58178.

LCM(58164,58178) = 2² × 3¹ × 37¹ × 131¹ × 19¹ × 1531¹
LCM(58164,58178) = 1691932596