What is the Least Common Multiple of 6905 and 6911?

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 6905 and 6911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6905 and 6911, than apply into the LCM equation.

GCF(6905,6911) = 1
LCM(6905,6911) = ( 6905 × 6911) / 1
LCM(6905,6911) = 47720455 / 1
LCM(6905,6911) = 47720455

Least Common Multiple (LCM) of 6905 and 6911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6905 and 6911. First we will calculate the prime factors of 6905 and 6911.

Prime Factorization of 6905

Prime Factorization of 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 6905 and 6911.

LCM(6905,6911) = 5¹ × 1381¹ × 6911¹
LCM(6905,6911) = 47720455