What is the Least Common Multiple of 6892 and 6905?

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 6892 and 6905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6892 and 6905, than apply into the LCM equation.

GCF(6892,6905) = 1
LCM(6892,6905) = ( 6892 × 6905) / 1
LCM(6892,6905) = 47589260 / 1
LCM(6892,6905) = 47589260

Least Common Multiple (LCM) of 6892 and 6905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6892 and 6905. First we will calculate the prime factors of 6892 and 6905.

Prime Factorization of 6892

Prime Factorization of 6905

Now multiplying the highest exponent prime factors to calculate the LCM of 6892 and 6905.

LCM(6892,6905) = 2² × 1723¹ × 5¹ × 1381¹
LCM(6892,6905) = 47589260