What is the Least Common Multiple of 69120 and 69130?

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 69120 and 69130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69120 and 69130, than apply into the LCM equation.

GCF(69120,69130) = 10
LCM(69120,69130) = ( 69120 × 69130) / 10
LCM(69120,69130) = 4778265600 / 10
LCM(69120,69130) = 477826560

Least Common Multiple (LCM) of 69120 and 69130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69120 and 69130. First we will calculate the prime factors of 69120 and 69130.

Prime Factorization of 69120

Prime Factorization of 69130

Now multiplying the highest exponent prime factors to calculate the LCM of 69120 and 69130.

LCM(69120,69130) = 2⁹ × 3³ × 5¹ × 31¹ × 223¹
LCM(69120,69130) = 477826560