What is the Least Common Multiple of 69168 and 69188?

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 69168 and 69188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69168 and 69188, than apply into the LCM equation.

GCF(69168,69188) = 4
LCM(69168,69188) = ( 69168 × 69188) / 4
LCM(69168,69188) = 4785595584 / 4
LCM(69168,69188) = 1196398896

Least Common Multiple (LCM) of 69168 and 69188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69168 and 69188. First we will calculate the prime factors of 69168 and 69188.

Prime Factorization of 69168

Prime Factorization of 69188

Now multiplying the highest exponent prime factors to calculate the LCM of 69168 and 69188.

LCM(69168,69188) = 2⁴ × 3¹ × 11¹ × 131¹ × 7² × 353¹
LCM(69168,69188) = 1196398896