What is the Least Common Multiple of 69472 and 69478?

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 69472 and 69478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69472 and 69478, than apply into the LCM equation.

GCF(69472,69478) = 2
LCM(69472,69478) = ( 69472 × 69478) / 2
LCM(69472,69478) = 4826775616 / 2
LCM(69472,69478) = 2413387808

Least Common Multiple (LCM) of 69472 and 69478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69472 and 69478. First we will calculate the prime factors of 69472 and 69478.

Prime Factorization of 69472

Prime Factorization of 69478

Now multiplying the highest exponent prime factors to calculate the LCM of 69472 and 69478.

LCM(69472,69478) = 2⁵ × 13¹ × 167¹ × 34739¹
LCM(69472,69478) = 2413387808