What is the Least Common Multiple of 96174 and 96186?

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 96174 and 96186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96174 and 96186, than apply into the LCM equation.

GCF(96174,96186) = 6
LCM(96174,96186) = ( 96174 × 96186) / 6
LCM(96174,96186) = 9250592364 / 6
LCM(96174,96186) = 1541765394

Least Common Multiple (LCM) of 96174 and 96186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96174 and 96186. First we will calculate the prime factors of 96174 and 96186.

Prime Factorization of 96174

Prime Factorization of 96186

Now multiplying the highest exponent prime factors to calculate the LCM of 96174 and 96186.

LCM(96174,96186) = 2¹ × 3³ × 13¹ × 137¹ × 17¹ × 23¹ × 41¹
LCM(96174,96186) = 1541765394