What is the Least Common Multiple of 6814 and 6825?

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 6814 and 6825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6814 and 6825, than apply into the LCM equation.

GCF(6814,6825) = 1
LCM(6814,6825) = ( 6814 × 6825) / 1
LCM(6814,6825) = 46505550 / 1
LCM(6814,6825) = 46505550

Least Common Multiple (LCM) of 6814 and 6825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6814 and 6825. First we will calculate the prime factors of 6814 and 6825.

Prime Factorization of 6814

Prime Factorization of 6825

Now multiplying the highest exponent prime factors to calculate the LCM of 6814 and 6825.

LCM(6814,6825) = 2¹ × 3407¹ × 3¹ × 5² × 7¹ × 13¹
LCM(6814,6825) = 46505550