What is the Least Common Multiple of 10170 and 10176?

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 10170 and 10176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10170 and 10176, than apply into the LCM equation.

GCF(10170,10176) = 6
LCM(10170,10176) = ( 10170 × 10176) / 6
LCM(10170,10176) = 103489920 / 6
LCM(10170,10176) = 17248320

Least Common Multiple (LCM) of 10170 and 10176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10170 and 10176. First we will calculate the prime factors of 10170 and 10176.

Prime Factorization of 10170

Prime Factorization of 10176

Now multiplying the highest exponent prime factors to calculate the LCM of 10170 and 10176.

LCM(10170,10176) = 2⁶ × 3² × 5¹ × 113¹ × 53¹
LCM(10170,10176) = 17248320