What is the Least Common Multiple of 69456 and 69460?

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 69460 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 69460, than apply into the LCM equation.

GCF(69456,69460) = 4
LCM(69456,69460) = ( 69456 × 69460) / 4
LCM(69456,69460) = 4824413760 / 4
LCM(69456,69460) = 1206103440

Least Common Multiple (LCM) of 69456 and 69460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69456 and 69460. First we will calculate the prime factors of 69456 and 69460.

Prime Factorization of 69456

Prime Factorization of 69460

Now multiplying the highest exponent prime factors to calculate the LCM of 69456 and 69460.

LCM(69456,69460) = 2⁴ × 3¹ × 1447¹ × 5¹ × 23¹ × 151¹
LCM(69456,69460) = 1206103440