What is the Least Common Multiple of 6905 and 6922?

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 6922 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 6922, than apply into the LCM equation.

GCF(6905,6922) = 1
LCM(6905,6922) = ( 6905 × 6922) / 1
LCM(6905,6922) = 47796410 / 1
LCM(6905,6922) = 47796410

Least Common Multiple (LCM) of 6905 and 6922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6905 and 6922. First we will calculate the prime factors of 6905 and 6922.

Prime Factorization of 6905

Prime Factorization of 6922

Now multiplying the highest exponent prime factors to calculate the LCM of 6905 and 6922.

LCM(6905,6922) = 5¹ × 1381¹ × 2¹ × 3461¹
LCM(6905,6922) = 47796410