What is the Least Common Multiple of 33160 and 33168?

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 33160 and 33168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33160 and 33168, than apply into the LCM equation.

GCF(33160,33168) = 8
LCM(33160,33168) = ( 33160 × 33168) / 8
LCM(33160,33168) = 1099850880 / 8
LCM(33160,33168) = 137481360

Least Common Multiple (LCM) of 33160 and 33168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33160 and 33168. First we will calculate the prime factors of 33160 and 33168.

Prime Factorization of 33160

Prime Factorization of 33168

Now multiplying the highest exponent prime factors to calculate the LCM of 33160 and 33168.

LCM(33160,33168) = 2⁴ × 5¹ × 829¹ × 3¹ × 691¹
LCM(33160,33168) = 137481360