What is the Least Common Multiple of 8160 and 8172?

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 8160 and 8172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8160 and 8172, than apply into the LCM equation.

GCF(8160,8172) = 12
LCM(8160,8172) = ( 8160 × 8172) / 12
LCM(8160,8172) = 66683520 / 12
LCM(8160,8172) = 5556960

Least Common Multiple (LCM) of 8160 and 8172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8160 and 8172. First we will calculate the prime factors of 8160 and 8172.

Prime Factorization of 8160

Prime Factorization of 8172

Now multiplying the highest exponent prime factors to calculate the LCM of 8160 and 8172.

LCM(8160,8172) = 2⁵ × 3² × 5¹ × 17¹ × 227¹
LCM(8160,8172) = 5556960