What is the Least Common Multiple of 69424 and 69441?

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 69424 and 69441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69424 and 69441, than apply into the LCM equation.

GCF(69424,69441) = 1
LCM(69424,69441) = ( 69424 × 69441) / 1
LCM(69424,69441) = 4820871984 / 1
LCM(69424,69441) = 4820871984

Least Common Multiple (LCM) of 69424 and 69441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69424 and 69441. First we will calculate the prime factors of 69424 and 69441.

Prime Factorization of 69424

Prime Factorization of 69441

Now multiplying the highest exponent prime factors to calculate the LCM of 69424 and 69441.

LCM(69424,69441) = 2⁴ × 4339¹ × 3¹ × 79¹ × 293¹
LCM(69424,69441) = 4820871984