What is the Least Common Multiple of 69344 and 69355?

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 69344 and 69355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69344 and 69355, than apply into the LCM equation.

GCF(69344,69355) = 11
LCM(69344,69355) = ( 69344 × 69355) / 11
LCM(69344,69355) = 4809353120 / 11
LCM(69344,69355) = 437213920

Least Common Multiple (LCM) of 69344 and 69355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69344 and 69355. First we will calculate the prime factors of 69344 and 69355.

Prime Factorization of 69344

Prime Factorization of 69355

Now multiplying the highest exponent prime factors to calculate the LCM of 69344 and 69355.

LCM(69344,69355) = 2⁵ × 11¹ × 197¹ × 5¹ × 13¹ × 97¹
LCM(69344,69355) = 437213920