What is the Least Common Multiple of 10176 and 10182?

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 10176 and 10182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10176 and 10182, than apply into the LCM equation.

GCF(10176,10182) = 6
LCM(10176,10182) = ( 10176 × 10182) / 6
LCM(10176,10182) = 103612032 / 6
LCM(10176,10182) = 17268672

Least Common Multiple (LCM) of 10176 and 10182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10176 and 10182. First we will calculate the prime factors of 10176 and 10182.

Prime Factorization of 10176

Prime Factorization of 10182

Now multiplying the highest exponent prime factors to calculate the LCM of 10176 and 10182.

LCM(10176,10182) = 2⁶ × 3¹ × 53¹ × 1697¹
LCM(10176,10182) = 17268672