What is the Least Common Multiple of 69114 and 69120?

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 69114 and 69120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69114 and 69120, than apply into the LCM equation.

GCF(69114,69120) = 6
LCM(69114,69120) = ( 69114 × 69120) / 6
LCM(69114,69120) = 4777159680 / 6
LCM(69114,69120) = 796193280

Least Common Multiple (LCM) of 69114 and 69120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69114 and 69120. First we will calculate the prime factors of 69114 and 69120.

Prime Factorization of 69114

Prime Factorization of 69120

Now multiplying the highest exponent prime factors to calculate the LCM of 69114 and 69120.

LCM(69114,69120) = 2⁹ × 3³ × 11519¹ × 5¹
LCM(69114,69120) = 796193280