What is the Least Common Multiple of 96174 and 96181?

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 96181 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 96181, than apply into the LCM equation.

GCF(96174,96181) = 1
LCM(96174,96181) = ( 96174 × 96181) / 1
LCM(96174,96181) = 9250111494 / 1
LCM(96174,96181) = 9250111494

Least Common Multiple (LCM) of 96174 and 96181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96174 and 96181. First we will calculate the prime factors of 96174 and 96181.

Prime Factorization of 96174

Prime Factorization of 96181

Now multiplying the highest exponent prime factors to calculate the LCM of 96174 and 96181.

LCM(96174,96181) = 2¹ × 3³ × 13¹ × 137¹ × 96181¹
LCM(96174,96181) = 9250111494