What is the Least Common Multiple of 69456 and 69472?

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 69456 and 69472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69456 and 69472, than apply into the LCM equation.

GCF(69456,69472) = 16
LCM(69456,69472) = ( 69456 × 69472) / 16
LCM(69456,69472) = 4825247232 / 16
LCM(69456,69472) = 301577952

Least Common Multiple (LCM) of 69456 and 69472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69456 and 69472. First we will calculate the prime factors of 69456 and 69472.

Prime Factorization of 69456

Prime Factorization of 69472

Now multiplying the highest exponent prime factors to calculate the LCM of 69456 and 69472.

LCM(69456,69472) = 2⁵ × 3¹ × 1447¹ × 13¹ × 167¹
LCM(69456,69472) = 301577952