What is the Least Common Multiple of 72905 and 72911?

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 72905 and 72911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72905 and 72911, than apply into the LCM equation.

GCF(72905,72911) = 1
LCM(72905,72911) = ( 72905 × 72911) / 1
LCM(72905,72911) = 5315576455 / 1
LCM(72905,72911) = 5315576455

Least Common Multiple (LCM) of 72905 and 72911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72905 and 72911. First we will calculate the prime factors of 72905 and 72911.

Prime Factorization of 72905

Prime Factorization of 72911

Now multiplying the highest exponent prime factors to calculate the LCM of 72905 and 72911.

LCM(72905,72911) = 5¹ × 7¹ × 2083¹ × 72911¹
LCM(72905,72911) = 5315576455