What is the Least Common Multiple of 69240 and 69248?

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 69240 and 69248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69240 and 69248, than apply into the LCM equation.

GCF(69240,69248) = 8
LCM(69240,69248) = ( 69240 × 69248) / 8
LCM(69240,69248) = 4794731520 / 8
LCM(69240,69248) = 599341440

Least Common Multiple (LCM) of 69240 and 69248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69240 and 69248. First we will calculate the prime factors of 69240 and 69248.

Prime Factorization of 69240

Prime Factorization of 69248

Now multiplying the highest exponent prime factors to calculate the LCM of 69240 and 69248.

LCM(69240,69248) = 2⁷ × 3¹ × 5¹ × 577¹ × 541¹
LCM(69240,69248) = 599341440