What is the Least Common Multiple of 6905 and 6923?

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 6923 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 6923, than apply into the LCM equation.

GCF(6905,6923) = 1
LCM(6905,6923) = ( 6905 × 6923) / 1
LCM(6905,6923) = 47803315 / 1
LCM(6905,6923) = 47803315

Least Common Multiple (LCM) of 6905 and 6923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6905 and 6923. First we will calculate the prime factors of 6905 and 6923.

Prime Factorization of 6905

Prime Factorization of 6923

Now multiplying the highest exponent prime factors to calculate the LCM of 6905 and 6923.

LCM(6905,6923) = 5¹ × 1381¹ × 7¹ × 23¹ × 43¹
LCM(6905,6923) = 47803315