What is the Least Common Multiple of 69905 and 69911?

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 69905 and 69911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69905 and 69911, than apply into the LCM equation.

GCF(69905,69911) = 1
LCM(69905,69911) = ( 69905 × 69911) / 1
LCM(69905,69911) = 4887128455 / 1
LCM(69905,69911) = 4887128455

Least Common Multiple (LCM) of 69905 and 69911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69905 and 69911. First we will calculate the prime factors of 69905 and 69911.

Prime Factorization of 69905

Prime Factorization of 69911

Now multiplying the highest exponent prime factors to calculate the LCM of 69905 and 69911.

LCM(69905,69911) = 5¹ × 11¹ × 31¹ × 41¹ × 69911¹
LCM(69905,69911) = 4887128455